LCM for 270 and 450

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What's the Least Common Multiple (LCM) of 270 and 450?

Answer

LCM of 270 and 450 is
1,350

First common multiples: 1,350; 2,700; 4,050; …

1,350 is divisible by both: 1,350 ÷ 270 = 5; 1,350 ÷ 450 = 3 — and 5 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 5 and of y/450 by 3.

270 = 2 × 33 × 5

450 = 2 × 32 × 52

Prime270450Highest power
2222
3333233
555252

LCM = 2 × 33 × 52 = 1,350

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
2704357,830
27043658,860
270437117,990
27043819,710
270439118,530
27044011,880
27044113,230
27044259,670
270443119,610
27044419,980
27044524,030
27044660,210
27044740,230
27044860,480
270449121,230
2704501,350
270451121,770
27045261,020
27045340,770
27045461,290
27045524,570
27045620,520
270457123,390
27045861,830
2704594,590
27046012,420
270461124,470
27046220,790
270463125,010
27046462,640

FAQ

What's the Least Common Multiple (LCM) of 270 and 450?

LCM of 270 and 450 is 1,350

How to find the LCM of 270 and 450 using prime factorization?

To find the LCM of 270 and 450, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,350.

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 450: LCM = 1,350, GCF = 90.

See Also