LCM for 270 and 360

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What's the Least Common Multiple (LCM) of 270 and 360?

Answer

LCM of 270 and 360 is
1,080

First common multiples: 1,080; 2,160; 3,240; …

1,080 is divisible by both: 1,080 ÷ 270 = 4; 1,080 ÷ 360 = 3 — and 4 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/270 by 4 and of y/360 by 3.

270 = 2 × 33 × 5

360 = 23 × 32 × 5

Prime270360Highest power
222323
3333233
5555

LCM = 23 × 33 × 5 = 1,080

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
2703456,210
27034646,710
27034793,690
27034815,660
27034994,230
2703509,450
2703513,510
27035247,520
27035395,310
27035415,930
27035519,170
27035648,060
27035732,130
27035848,330
27035996,930
2703601,080
27036197,470
27036248,870
27036332,670
27036449,140
27036519,710
27036616,470
27036799,090
27036849,680
27036911,070
2703709,990
270371100,170
27037216,740
270373100,710
27037450,490

FAQ

What's the Least Common Multiple (LCM) of 270 and 360?

LCM of 270 and 360 is 1,080

How to find the LCM of 270 and 360 using prime factorization?

To find the LCM of 270 and 360, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,080.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 270 and 360: LCM = 1,080, GCF = 90.

See Also