Least Common Multiple of 8/13, 7/19, 4/56, 52/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/13, 7/19, 4/56, 52/837 quickly i.e. 728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/13, 7/19, 4/56, 52/837 is 728.

LCM(8/13, 7/19, 4/56, 52/837) = 728

LCM of 8/13, 7/19, 4/56, 52/837

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 8/13,7/19,4/56,52/837

Given numbers are 8/13,7/19,4/56,52/837

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 8,7,4,52

Least Common Multiple of Numerators i.e. LCM of 8,7,4,52 is 728.

GCF of Denominators means GCF of 13,19,56,837 as per the given fractions.

GCF of 13,19,56,837 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,7,4,52

LCM of Fractions 8/13,7/19,4/56,52/837 is 728

2 8, 7, 4, 52
2 4, 7, 2, 26
1, 7, 2, 13

∴ So the LCM of the given numbers is 2 x 2 x 1 x 7 x 2 x 13 = 728

Least Common Multiple of 8,7,4,52 with GCF Formula

Least Common Multiple of 8,7,4,52 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 8,7,4,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,7,4,52) = 1

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

GCF(8,7,4,52) x common factors =1 x 16 = 16

LCM(8,7,4,52) = ( 8 × 7 × 4 × 52 ) / 16

LCM(8,7,4,52) = 11648 / 16

LCM(8,7,4,52) = 728


Lets's calculate GCF of 13,19,56,837

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 728/1

Therefore the LCM of Fractions 8/13,7/19,4/56,52/837 is 728

Greatest Common Factor of 13,19,56,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,19,56,837 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

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 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 13,19,56,837 . The biggest common factor number is the GCF number.
So the greatest common factor 13,19,56,837 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 8/13, 7/19, 4/56, 52/837

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 8/13, 7/19, 4/56, 52/837?

Answer: LCM of Numerators as per given numbers 8/13, 7/19, 4/56, 52/837 is

LCM of Numerators i.e. for 8,7,4,52 is 728

GCF of denominators i.e. for 13,19,56,837 is 1.

Thus, LCM of Fractions is 728.Finally, LCM of Fractions for 8/13, 7/19, 4/56, 52/837 is 728.