Least Common Multiple of 952/83, 310/90, 724/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 952/83, 310/90, 724/873 quickly i.e. 26708360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 952/83, 310/90, 724/873 is 26708360.

LCM(952/83, 310/90, 724/873) = 26708360

LCM of 952/83, 310/90, 724/873

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 952/83,310/90,724/873

Given numbers are 952/83,310/90,724/873

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 952,310,724

Least Common Multiple of Numerators i.e. LCM of 952,310,724 is 26708360.

GCF of Denominators means GCF of 83,90,873 as per the given fractions.

GCF of 83,90,873 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 952,310,724

LCM of Fractions 952/83,310/90,724/873 is 26708360

2 952, 310, 724
2 476, 155, 362
238, 155, 181

∴ So the LCM of the given numbers is 2 x 2 x 238 x 155 x 181 = 26708360

Least Common Multiple of 952,310,724 with GCF Formula

Least Common Multiple of 952,310,724 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 952,310,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,310,724) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(952,310,724) x common factors =2 x 4 = 8

LCM(952,310,724) = ( 952 × 310 × 724 ) / 8

LCM(952,310,724) = 213666880 / 8

LCM(952,310,724) = 26708360


Lets's calculate GCF of 83,90,873

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26708360/1

Therefore the LCM of Fractions 952/83,310/90,724/873 is 26708360

Greatest Common Factor of 83,90,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,90,873 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 83,90,873 . The biggest common factor number is the GCF number.
So the greatest common factor 83,90,873 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 952/83, 310/90, 724/873

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 952/83, 310/90, 724/873?

Answer: LCM of Numerators as per given numbers 952/83, 310/90, 724/873 is

LCM of Numerators i.e. for 952,310,724 is 26708360

GCF of denominators i.e. for 83,90,873 is 1.

Thus, LCM of Fractions is 26708360.Finally, LCM of Fractions for 952/83, 310/90, 724/873 is 26708360.