Least Common Multiple of 379/56, 422/79, 850/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 379/56, 422/79, 850/715 quickly i.e. 67973650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 379/56, 422/79, 850/715 is 67973650.

LCM(379/56, 422/79, 850/715) = 67973650

LCM of 379/56, 422/79, 850/715

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 379/56,422/79,850/715

Given numbers are 379/56,422/79,850/715

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 379,422,850

Least Common Multiple of Numerators i.e. LCM of 379,422,850 is 67973650.

GCF of Denominators means GCF of 56,79,715 as per the given fractions.

GCF of 56,79,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 379,422,850

LCM of Fractions 379/56,422/79,850/715 is 67973650

2 379, 422, 850
379, 211, 425

∴ So the LCM of the given numbers is 2 x 379 x 211 x 425 = 67973650

Least Common Multiple of 379,422,850 with GCF Formula

Least Common Multiple of 379,422,850 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 379,422,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,422,850) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(379,422,850) x common factors =1 x 2 = 2

LCM(379,422,850) = ( 379 × 422 × 850 ) / 2

LCM(379,422,850) = 135947300 / 2

LCM(379,422,850) = 67973650


Lets's calculate GCF of 56,79,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67973650/1

Therefore the LCM of Fractions 379/56,422/79,850/715 is 67973650

Greatest Common Factor of 56,79,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,79,715 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 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 56,79,715 . The biggest common factor number is the GCF number.
So the greatest common factor 56,79,715 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 379/56, 422/79, 850/715

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 379/56, 422/79, 850/715?

Answer: LCM of Numerators as per given numbers 379/56, 422/79, 850/715 is

LCM of Numerators i.e. for 379,422,850 is 67973650

GCF of denominators i.e. for 56,79,715 is 1.

Thus, LCM of Fractions is 67973650.Finally, LCM of Fractions for 379/56, 422/79, 850/715 is 67973650.