Least Common Multiple of 501, 614, 576, 196, 980

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 501, 614, 576, 196, 980 i.e. 7235081280 smallest integer divisible by all numbers.

Least common multiple (LCM) of 501, 614, 576, 196, 980 is 7235081280.

LCM(501, 614, 576, 196, 980) = 7235081280

LCM of 501, 614, 576, 196, 980

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

LCM of:

Least Common Multiple of 501,614,576,196,980

Least Common Multiple (LCM) of 501,614,576,196,980 is 7235081280

2 501, 614, 576, 196, 980
2 501, 307, 288, 98, 490
3 501, 307, 144, 49, 245
7 167, 307, 48, 49, 245
7 167, 307, 48, 7, 35
167, 307, 48, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 7 x 167 x 307 x 48 x 1 x 5 = 7235081280

Least Common Multiple of 501,614,576,196,980 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 501,614,576,196,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,614,576,196,980) = 1

common factors(in case of two or more numbers have common factors) = 4704

GCF(501,614,576,196,980) x common factors =1 x 4704 = 4704

LCM(501,614,576,196,980) = ( 501 × 614 × 576 × 196 × 980 ) / 4704

LCM(501,614,576,196,980) = 34033822341120 / 4704

LCM(501,614,576,196,980) = 7235081280

∴ Least Common Multiple of 501,614,576,196,980 is 7235081280

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 501, 614, 576, 196, 980

1. What is the LCM of 501, 614, 576, 196, 980?

Answer: LCM of 501, 614, 576, 196, 980 is 7235081280.

2. What are the Factors of 7235081280?

Answer: Factors of 7235081280 are . There are integers that are factors of 7235081280

3. How to Find the LCM of 501, 614, 576, 196, 980 ?

Least Common Multiple of 501, 614, 576, 196, 980.

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(501, 614, 576, 196, 980) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7 x 167 x 307 = 7235081280.