Least Common Multiple of 56/65, 83/76, 46/58, 21/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/65, 83/76, 46/58, 21/997 quickly i.e. 320712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/65, 83/76, 46/58, 21/997 is 320712.

LCM(56/65, 83/76, 46/58, 21/997) = 320712

LCM of 56/65, 83/76, 46/58, 21/997

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 56/65,83/76,46/58,21/997

Given numbers are 56/65,83/76,46/58,21/997

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 56,83,46,21

Least Common Multiple of Numerators i.e. LCM of 56,83,46,21 is 320712.

GCF of Denominators means GCF of 65,76,58,997 as per the given fractions.

GCF of 65,76,58,997 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,83,46,21

LCM of Fractions 56/65,83/76,46/58,21/997 is 320712

2 56, 83, 46, 21
7 28, 83, 23, 21
4, 83, 23, 3

∴ So the LCM of the given numbers is 2 x 7 x 4 x 83 x 23 x 3 = 320712

Least Common Multiple of 56,83,46,21 with GCF Formula

Least Common Multiple of 56,83,46,21 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 56,83,46,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,83,46,21) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(56,83,46,21) x common factors =1 x 14 = 14

LCM(56,83,46,21) = ( 56 × 83 × 46 × 21 ) / 14

LCM(56,83,46,21) = 4489968 / 14

LCM(56,83,46,21) = 320712


Lets's calculate GCF of 65,76,58,997

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 320712/1

Therefore the LCM of Fractions 56/65,83/76,46/58,21/997 is 320712

Greatest Common Factor of 65,76,58,997 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,76,58,997 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 76

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

1,2,4,19,38,76

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors 65,76,58,997 . The biggest common factor number is the GCF number.
So the greatest common factor 65,76,58,997 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 56/65, 83/76, 46/58, 21/997

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 56/65, 83/76, 46/58, 21/997?

Answer: LCM of Numerators as per given numbers 56/65, 83/76, 46/58, 21/997 is

LCM of Numerators i.e. for 56,83,46,21 is 320712

GCF of denominators i.e. for 65,76,58,997 is 1.

Thus, LCM of Fractions is 320712.Finally, LCM of Fractions for 56/65, 83/76, 46/58, 21/997 is 320712.