Least Common Multiple of 77, 88, 74, 578

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 77, 88, 74, 578 i.e. 6586888 smallest integer divisible by all numbers.

Least common multiple (LCM) of 77, 88, 74, 578 is 6586888.

LCM(77, 88, 74, 578) = 6586888

LCM of 77, 88, 74, 578

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

LCM of:

Least Common Multiple of 77,88,74,578

Least Common Multiple (LCM) of 77,88,74,578 is 6586888

2 77, 88, 74, 578
11 77, 44, 37, 289
7, 4, 37, 289

∴ So the LCM of the given numbers is 2 x 11 x 7 x 4 x 37 x 289 = 6586888

Least Common Multiple of 77,88,74,578 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 77,88,74,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,88,74,578) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(77,88,74,578) x common factors =1 x 44 = 44

LCM(77,88,74,578) = ( 77 × 88 × 74 × 578 ) / 44

LCM(77,88,74,578) = 289823072 / 44

LCM(77,88,74,578) = 6586888

∴ Least Common Multiple of 77,88,74,578 is 6586888

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 77, 88, 74, 578

1. What is the LCM of 77, 88, 74, 578?

Answer: LCM of 77, 88, 74, 578 is 6586888.

2. What are the Factors of 6586888?

Answer: Factors of 6586888 are . There are integers that are factors of 6586888

3. How to Find the LCM of 77, 88, 74, 578 ?

Least Common Multiple of 77, 88, 74, 578.

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(77, 88, 74, 578) = 2 x 2 x 2 x 7 x 11 x 17 x 17 x 37 = 6586888.