Least Common Multiple of 85/88, 443/52, 316/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 85/88, 443/52, 316/724 quickly i.e. 2974745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/88, 443/52, 316/724 is 2974745.

LCM(85/88, 443/52, 316/724) = 2974745

LCM of 85/88, 443/52, 316/724

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 85/88,443/52,316/724

Given numbers are 85/88,443/52,316/724

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 85,443,316

Least Common Multiple of Numerators i.e. LCM of 85,443,316 is 11898980.

GCF of Denominators means GCF of 88,52,724 as per the given fractions.

GCF of 88,52,724 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,443,316

LCM of Fractions 85/88,443/52,316/724 is 2974745

Given numbers has no common factors except 1. So, there LCM is their product i.e 11898980

Least Common Multiple of 85,443,316 with GCF Formula

Least Common Multiple of 85,443,316 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 85,443,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,443,316) = 1

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

GCF(85,443,316) x common factors =1 x 1 = 1

LCM(85,443,316) = ( 85 × 443 × 316 ) / 1

LCM(85,443,316) = 11898980 / 1

LCM(85,443,316) = 11898980


Lets's calculate GCF of 88,52,724

2 88, 52, 724
2 44, 26, 362
22, 13, 181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11898980/4

Therefore the LCM of Fractions 85/88,443/52,316/724 is 2974745

Greatest Common Factor of 88,52,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,52,724 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 88,52,724 . The biggest common factor number is the GCF number.
So the greatest common factor 88,52,724 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 85/88, 443/52, 316/724

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 85/88, 443/52, 316/724?

Answer: LCM of Numerators as per given numbers 85/88, 443/52, 316/724 is

LCM of Numerators i.e. for 85,443,316 is 11898980

GCF of denominators i.e. for 88,52,724 is 4.

Thus, LCM of Fractions is 2974745.Finally, LCM of Fractions for 85/88, 443/52, 316/724 is 2974745.