Least Common Multiple of 592/76, 476/49, 976/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 592/76, 476/49, 976/715 quickly i.e. 4297328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 592/76, 476/49, 976/715 is 4297328.

LCM(592/76, 476/49, 976/715) = 4297328

LCM of 592/76, 476/49, 976/715

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 592/76,476/49,976/715

Given numbers are 592/76,476/49,976/715

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 592,476,976

Least Common Multiple of Numerators i.e. LCM of 592,476,976 is 4297328.

GCF of Denominators means GCF of 76,49,715 as per the given fractions.

GCF of 76,49,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 592,476,976

LCM of Fractions 592/76,476/49,976/715 is 4297328

2 592, 476, 976
2 296, 238, 488
2 148, 119, 244
2 74, 119, 122
37, 119, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 37 x 119 x 61 = 4297328

Least Common Multiple of 592,476,976 with GCF Formula

Least Common Multiple of 592,476,976 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 592,476,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,476,976) = 4

common factors(in case of two or more numbers have common factors) = 16

GCF(592,476,976) x common factors =4 x 16 = 64

LCM(592,476,976) = ( 592 × 476 × 976 ) / 64

LCM(592,476,976) = 275028992 / 64

LCM(592,476,976) = 4297328


Lets's calculate GCF of 76,49,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4297328/1

Therefore the LCM of Fractions 592/76,476/49,976/715 is 4297328

Greatest Common Factor of 76,49,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,49,715 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

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 76,49,715 . The biggest common factor number is the GCF number.
So the greatest common factor 76,49,715 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 592/76, 476/49, 976/715

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 592/76, 476/49, 976/715?

Answer: LCM of Numerators as per given numbers 592/76, 476/49, 976/715 is

LCM of Numerators i.e. for 592,476,976 is 4297328

GCF of denominators i.e. for 76,49,715 is 1.

Thus, LCM of Fractions is 4297328.Finally, LCM of Fractions for 592/76, 476/49, 976/715 is 4297328.