Least Common Multiple of 464, 238, 565, 245, 561

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 464, 238, 565, 245, 561 i.e. 7206516240 smallest integer divisible by all numbers.

Least common multiple (LCM) of 464, 238, 565, 245, 561 is 7206516240.

LCM(464, 238, 565, 245, 561) = 7206516240

LCM of 464, 238, 565, 245, 561

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

LCM of:

Least Common Multiple of 464,238,565,245,561

Least Common Multiple (LCM) of 464,238,565,245,561 is 7206516240

2 464, 238, 565, 245, 561
5 232, 119, 565, 245, 561
7 232, 119, 113, 49, 561
17 232, 17, 113, 7, 561
232, 1, 113, 7, 33

∴ So the LCM of the given numbers is 2 x 5 x 7 x 17 x 232 x 1 x 113 x 7 x 33 = 7206516240

Least Common Multiple of 464,238,565,245,561 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 464,238,565,245,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,238,565,245,561) = 1

common factors(in case of two or more numbers have common factors) = 1190

GCF(464,238,565,245,561) x common factors =1 x 1190 = 1190

LCM(464,238,565,245,561) = ( 464 × 238 × 565 × 245 × 561 ) / 1190

LCM(464,238,565,245,561) = 8575754325600 / 1190

LCM(464,238,565,245,561) = 7206516240

∴ Least Common Multiple of 464,238,565,245,561 is 7206516240

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 464, 238, 565, 245, 561

1. What is the LCM of 464, 238, 565, 245, 561?

Answer: LCM of 464, 238, 565, 245, 561 is 7206516240.

2. What are the Factors of 7206516240?

Answer: Factors of 7206516240 are . There are integers that are factors of 7206516240

3. How to Find the LCM of 464, 238, 565, 245, 561 ?

Least Common Multiple of 464, 238, 565, 245, 561.

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(464, 238, 565, 245, 561) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 11 x 17 x 29 x 113 = 7206516240.