Least Common Multiple of 254, 728, 414, 396, 710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 254, 728, 414, 396, 710 i.e. 74735420760 smallest integer divisible by all numbers.

Least common multiple (LCM) of 254, 728, 414, 396, 710 is 74735420760.

LCM(254, 728, 414, 396, 710) = 74735420760

LCM of 254, 728, 414, 396, 710

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 254,728,414,396,710

Least Common Multiple (LCM) of 254,728,414,396,710 is 74735420760

2 254, 728, 414, 396, 710
2 127, 364, 207, 198, 355
3 127, 182, 207, 99, 355
3 127, 182, 69, 33, 355
127, 182, 23, 11, 355

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 127 x 182 x 23 x 11 x 355 = 74735420760

Least Common Multiple of 254,728,414,396,710 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 254,728,414,396,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,728,414,396,710) = 2

common factors(in case of two or more numbers have common factors) = 144

GCF(254,728,414,396,710) x common factors =2 x 144 = 288

LCM(254,728,414,396,710) = ( 254 × 728 × 414 × 396 × 710 ) / 288

LCM(254,728,414,396,710) = 21523801178880 / 288

LCM(254,728,414,396,710) = 74735420760

∴ Least Common Multiple of 254,728,414,396,710 is 74735420760

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 254, 728, 414, 396, 710

1. What is the LCM of 254, 728, 414, 396, 710?

Answer: LCM of 254, 728, 414, 396, 710 is 74735420760.

2. What are the Factors of 74735420760?

Answer: Factors of 74735420760 are . There are integers that are factors of 74735420760

3. How to Find the LCM of 254, 728, 414, 396, 710 ?

Least Common Multiple of 254, 728, 414, 396, 710.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(254, 728, 414, 396, 710) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 13 x 23 x 71 x 127 = 74735420760.