Least Common Multiple of 87/56, 64/371, 429/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/56, 64/371, 429/340 quickly i.e. 796224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/56, 64/371, 429/340 is 796224.

LCM(87/56, 64/371, 429/340) = 796224

LCM of 87/56, 64/371, 429/340

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 87/56,64/371,429/340

Given numbers are 87/56,64/371,429/340

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 87,64,429

Least Common Multiple of Numerators i.e. LCM of 87,64,429 is 796224.

GCF of Denominators means GCF of 56,371,340 as per the given fractions.

GCF of 56,371,340 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,64,429

LCM of Fractions 87/56,64/371,429/340 is 796224

3 87, 64, 429
29, 64, 143

∴ So the LCM of the given numbers is 3 x 29 x 64 x 143 = 796224

Least Common Multiple of 87,64,429 with GCF Formula

Least Common Multiple of 87,64,429 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 87,64,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,64,429) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,64,429) x common factors =1 x 3 = 3

LCM(87,64,429) = ( 87 × 64 × 429 ) / 3

LCM(87,64,429) = 2388672 / 3

LCM(87,64,429) = 796224


Lets's calculate GCF of 56,371,340

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 796224/1

Therefore the LCM of Fractions 87/56,64/371,429/340 is 796224

Greatest Common Factor of 56,371,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,371,340 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 56,371,340 . The biggest common factor number is the GCF number.
So the greatest common factor 56,371,340 is 1.


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 87/56, 64/371, 429/340

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 87/56, 64/371, 429/340?

Answer: LCM of Numerators as per given numbers 87/56, 64/371, 429/340 is

LCM of Numerators i.e. for 87,64,429 is 796224

GCF of denominators i.e. for 56,371,340 is 1.

Thus, LCM of Fractions is 796224.Finally, LCM of Fractions for 87/56, 64/371, 429/340 is 796224.