Least Common Multiple of 88/782, 400/440, 327/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/782, 400/440, 327/656 quickly i.e. 719400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/782, 400/440, 327/656 is 719400.

LCM(88/782, 400/440, 327/656) = 719400

LCM of 88/782, 400/440, 327/656

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 88/782,400/440,327/656

Given numbers are 88/782,400/440,327/656

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 88,400,327

Least Common Multiple of Numerators i.e. LCM of 88,400,327 is 1438800.

GCF of Denominators means GCF of 782,440,656 as per the given fractions.

GCF of 782,440,656 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,400,327

LCM of Fractions 88/782,400/440,327/656 is 719400

2 88, 400, 327
2 44, 200, 327
2 22, 100, 327
11, 50, 327

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 50 x 327 = 1438800

Least Common Multiple of 88,400,327 with GCF Formula

Least Common Multiple of 88,400,327 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 88,400,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,400,327) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(88,400,327) x common factors =1 x 8 = 8

LCM(88,400,327) = ( 88 × 400 × 327 ) / 8

LCM(88,400,327) = 11510400 / 8

LCM(88,400,327) = 1438800


Lets's calculate GCF of 782,440,656

2 782, 440, 656
391, 220, 328

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1438800/2

Therefore the LCM of Fractions 88/782,400/440,327/656 is 719400

Greatest Common Factor of 782,440,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,440,656 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 782,440,656 . The biggest common factor number is the GCF number.
So the greatest common factor 782,440,656 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 88/782, 400/440, 327/656

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 88/782, 400/440, 327/656?

Answer: LCM of Numerators as per given numbers 88/782, 400/440, 327/656 is

LCM of Numerators i.e. for 88,400,327 is 1438800

GCF of denominators i.e. for 782,440,656 is 2.

Thus, LCM of Fractions is 719400.Finally, LCM of Fractions for 88/782, 400/440, 327/656 is 719400.