A positive integer is a multiple of 30 when it can be divided by 30; this means that its division by 30 gives
an integer quotient and zero remainder.

If a natural number m is a multiple of 30, it exists an integer q such that: m/30=q and 30*q=m.

2; 3; 5; 6; 10; 15 are divisors of 30, if a number is a multiple of 30 then that number is also a multiple of 2; 3; 5; 6; 10 and 15.

If a number is a multiple of 30 then it must meet one of the following conditions:

- if a natural number is divisible by 2 and 15 then that number is a multiple of 30;

- if a natural number is divisible by 3 and 10 then that number is a multiple of 30;

- if a natural number is divisible by 5 and 6 then that number is a multiple of 30;

Example: 180 is a multiple of 30 'because 180 is divisible by 2 and 15, 180/2=90 and 180/15=12'.

Here are some multiples of 30 greater than 0:

**Multiples of 30 less than 1000:**

30; 60; 90; 120; 150; 180; 210; 240; 270; 300; 330; 360; 390; 420; 450; 480; 510; 540; 570; 600; 630; 660; 690; 720; 750; 780; 810; 840; 870; 900; 930; 990.

**Multiples of 30 up to 1000 and less than 2000: **

1020; 1050; 1080; 1110; 1140; 1170; 1200; 1230; 1260; 1290; 1320; 1350; 1380; 1410; 1440; 1470; 1500; 1530; 1560; 1590; 1620; 1650; 1680; 1710; 1740; 1770; 1800; 1830; 1860; 1890; 1920; 1950; 1980.

**Multiples of 30 between 2000 and 3000:**

2010; 2040; 2070; 2100; 2130; 2160; 2190; 2220; 2250; 2280; 2310; 2340; 2370; 2400; 2430; 2460; 2490; 2520; 2550; 2580; 2610; 2640; 2670; 2700; 2730; 2760; 2790; 2820; 2850; 2880; 2910; 2940; 2970; 3000.

**Multiples of 29 up to 4000 and less than 5000:**

4020; 4050; 4080; 4110; 4140; 4170; 4200; 4230; 4260; 4290; 4320; 4350; 4380; 4410; 4440; 4470; 4500; 4530; 4560; 4590; 4620; 4650; 4680; 4710; 4740; 4770; 4800; 4830; 4860; 4890; 4920; 4950; 4980.

**What is the least common multiple of 20 and 30?**

The least common multiple of 20 and 30 is 60.

**What is the least common multiple of 12 and 30?**

The least common multiple of 12 and 30 is 60.

If a natural number m is a multiple of 30, it exists an integer q such that: m/30=q and 30*q=m.

2; 3; 5; 6; 10; 15 are divisors of 30, if a number is a multiple of 30 then that number is also a multiple of 2; 3; 5; 6; 10 and 15.

If a number is a multiple of 30 then it must meet one of the following conditions:

- if a natural number is divisible by 2 and 15 then that number is a multiple of 30;

- if a natural number is divisible by 3 and 10 then that number is a multiple of 30;

- if a natural number is divisible by 5 and 6 then that number is a multiple of 30;

Example: 180 is a multiple of 30 'because 180 is divisible by 2 and 15, 180/2=90 and 180/15=12'.

Here are some multiples of 30 greater than 0:

30; 60; 90; 120; 150; 180; 210; 240; 270; 300; 330; 360; 390; 420; 450; 480; 510; 540; 570; 600; 630; 660; 690; 720; 750; 780; 810; 840; 870; 900; 930; 990.

1020; 1050; 1080; 1110; 1140; 1170; 1200; 1230; 1260; 1290; 1320; 1350; 1380; 1410; 1440; 1470; 1500; 1530; 1560; 1590; 1620; 1650; 1680; 1710; 1740; 1770; 1800; 1830; 1860; 1890; 1920; 1950; 1980.

2010; 2040; 2070; 2100; 2130; 2160; 2190; 2220; 2250; 2280; 2310; 2340; 2370; 2400; 2430; 2460; 2490; 2520; 2550; 2580; 2610; 2640; 2670; 2700; 2730; 2760; 2790; 2820; 2850; 2880; 2910; 2940; 2970; 3000.

4020; 4050; 4080; 4110; 4140; 4170; 4200; 4230; 4260; 4290; 4320; 4350; 4380; 4410; 4440; 4470; 4500; 4530; 4560; 4590; 4620; 4650; 4680; 4710; 4740; 4770; 4800; 4830; 4860; 4890; 4920; 4950; 4980.

The least common multiple of 20 and 30 is 60.

The least common multiple of 12 and 30 is 60.