Least Common Multiple of 853/564, 1036/1096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 853/564, 1036/1096 quickly i.e. 220927 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 853/564, 1036/1096 is 220927.

LCM(853/564, 1036/1096) = 220927

LCM of 853/564, 1036/1096

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 853/564,1036/1096

Given numbers are 853/564,1036/1096

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 853,1036

Least Common Multiple of Numerators i.e. LCM of 853,1036 is 883708.

GCF of Denominators means GCF of 564,1096 as per the given fractions.

GCF of 564,1096 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 853,1036

LCM of Fractions 853/564,1036/1096 is 220927

Given numbers has no common factors except 1. So, there LCM is their product i.e 883708

Least Common Multiple of 853,1036 with GCF Formula

Least Common Multiple of 853,1036 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 853,1036 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(853,1036) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(853,1036) x common factors =1 x 1 = 1

LCM(853,1036) = ( 853 × 1036 ) / 1

LCM(853,1036) = 883708 / 1

LCM(853,1036) = 883708


Lets's calculate GCF of 564,1096

2 564, 1096
2 282, 548
141, 274

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 883708/4

Therefore the LCM of Fractions 853/564,1036/1096 is 220927

Greatest Common Factor of 564,1096 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,1096 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 1096

List of positive integer factors of 1096 that divides 1096 without a remainder.

1,2,4,8,137,274,548,1096

Greatest Common Factor

We found the factors 564,1096 . The biggest common factor number is the GCF number.
So the greatest common factor 564,1096 is 4.


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Frequently Asked Questions on Fractional LCM of 853/564, 1036/1096

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 853/564, 1036/1096?

Answer: LCM of Numerators as per given numbers 853/564, 1036/1096 is

LCM of Numerators i.e. for 853,1036 is 883708

GCF of denominators i.e. for 564,1096 is 4.

Thus, LCM of Fractions is 220927.Finally, LCM of Fractions for 853/564, 1036/1096 is 220927.