Least Common Multiple of 488, 138, 475, 644, 356

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 488, 138, 475, 644, 356 i.e. 9964386600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 488, 138, 475, 644, 356 is 9964386600.

LCM(488, 138, 475, 644, 356) = 9964386600

LCM of 488, 138, 475, 644, 356

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

LCM of:

Least Common Multiple of 488,138,475,644,356

Least Common Multiple (LCM) of 488,138,475,644,356 is 9964386600

2 488, 138, 475, 644, 356
2 244, 69, 475, 322, 178
23 122, 69, 475, 161, 89
122, 3, 475, 7, 89

∴ So the LCM of the given numbers is 2 x 2 x 23 x 122 x 3 x 475 x 7 x 89 = 9964386600

Least Common Multiple of 488,138,475,644,356 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 488,138,475,644,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,138,475,644,356) = 1

common factors(in case of two or more numbers have common factors) = 736

GCF(488,138,475,644,356) x common factors =1 x 736 = 736

LCM(488,138,475,644,356) = ( 488 × 138 × 475 × 644 × 356 ) / 736

LCM(488,138,475,644,356) = 7333788537600 / 736

LCM(488,138,475,644,356) = 9964386600

∴ Least Common Multiple of 488,138,475,644,356 is 9964386600

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 488, 138, 475, 644, 356

1. What is the LCM of 488, 138, 475, 644, 356?

Answer: LCM of 488, 138, 475, 644, 356 is 9964386600.

2. What are the Factors of 9964386600?

Answer: Factors of 9964386600 are . There are integers that are factors of 9964386600

3. How to Find the LCM of 488, 138, 475, 644, 356 ?

Least Common Multiple of 488, 138, 475, 644, 356.

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(488, 138, 475, 644, 356) = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 19 x 23 x 61 x 89 = 9964386600.