LCM for 480 and 720

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What's the Least Common Multiple (LCM) of 480 and 720?

Answer

LCM of 480 and 720 is
1,440

First common multiples: 1,440; 2,880; 4,320; …

1,440 is divisible by both: 1,440 ÷ 480 = 3; 1,440 ÷ 720 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/480 by 3 and of y/720 by 2.

480 = 25 × 3 × 5

720 = 24 × 32 × 5

Prime480720Highest power
2252425
333232
5555

LCM = 25 × 32 × 5 = 1,440

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
48070522,560
480706169,440
480707339,360
48070828,320
480709340,320
48071034,080
480711113,760
48071242,720
480713342,240
48071457,120
48071568,640
48071685,920
480717114,720
480718172,320
480719345,120
4807201,440
480721346,080
480722173,280
480723115,680
48072486,880
48072569,600
48072658,080
480727348,960
48072843,680
480729116,640
48073035,040
480731350,880
48073229,280
480733351,840
480734176,160

FAQ

What's the Least Common Multiple (LCM) of 480 and 720?

LCM of 480 and 720 is 1,440

How to find the LCM of 480 and 720 using prime factorization?

To find the LCM of 480 and 720, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,440.

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 480 and 720: LCM = 1,440, GCF = 240.

See Also