Least Common Multiple of 83/40, 744/99, 889/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/40, 744/99, 889/572 quickly i.e. 54897528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/40, 744/99, 889/572 is 54897528.

LCM(83/40, 744/99, 889/572) = 54897528

LCM of 83/40, 744/99, 889/572

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 83/40,744/99,889/572

Given numbers are 83/40,744/99,889/572

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 83,744,889

Least Common Multiple of Numerators i.e. LCM of 83,744,889 is 54897528.

GCF of Denominators means GCF of 40,99,572 as per the given fractions.

GCF of 40,99,572 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,744,889

LCM of Fractions 83/40,744/99,889/572 is 54897528

Given numbers has no common factors except 1. So, there LCM is their product i.e 54897528

Least Common Multiple of 83,744,889 with GCF Formula

Least Common Multiple of 83,744,889 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 83,744,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,744,889) = 1

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

GCF(83,744,889) x common factors =1 x 1 = 1

LCM(83,744,889) = ( 83 × 744 × 889 ) / 1

LCM(83,744,889) = 54897528 / 1

LCM(83,744,889) = 54897528


Lets's calculate GCF of 40,99,572

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54897528/1

Therefore the LCM of Fractions 83/40,744/99,889/572 is 54897528

Greatest Common Factor of 40,99,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,99,572 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 40,99,572 . The biggest common factor number is the GCF number.
So the greatest common factor 40,99,572 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/40, 744/99, 889/572

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 83/40, 744/99, 889/572?

Answer: LCM of Numerators as per given numbers 83/40, 744/99, 889/572 is

LCM of Numerators i.e. for 83,744,889 is 54897528

GCF of denominators i.e. for 40,99,572 is 1.

Thus, LCM of Fractions is 54897528.Finally, LCM of Fractions for 83/40, 744/99, 889/572 is 54897528.