Least Common Multiple of 940/82, 644/43, 654/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 940/82, 644/43, 654/998 quickly i.e. 49488180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 940/82, 644/43, 654/998 is 49488180.

LCM(940/82, 644/43, 654/998) = 49488180

LCM of 940/82, 644/43, 654/998

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 940/82,644/43,654/998

Given numbers are 940/82,644/43,654/998

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 940,644,654

Least Common Multiple of Numerators i.e. LCM of 940,644,654 is 49488180.

GCF of Denominators means GCF of 82,43,998 as per the given fractions.

GCF of 82,43,998 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 940,644,654

LCM of Fractions 940/82,644/43,654/998 is 49488180

2 940, 644, 654
2 470, 322, 327
235, 161, 327

∴ So the LCM of the given numbers is 2 x 2 x 235 x 161 x 327 = 49488180

Least Common Multiple of 940,644,654 with GCF Formula

Least Common Multiple of 940,644,654 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 940,644,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(940,644,654) = 2

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

GCF(940,644,654) x common factors =2 x 4 = 8

LCM(940,644,654) = ( 940 × 644 × 654 ) / 8

LCM(940,644,654) = 395905440 / 8

LCM(940,644,654) = 49488180


Lets's calculate GCF of 82,43,998

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49488180/1

Therefore the LCM of Fractions 940/82,644/43,654/998 is 49488180

Greatest Common Factor of 82,43,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,43,998 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 82,43,998 . The biggest common factor number is the GCF number.
So the greatest common factor 82,43,998 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 940/82, 644/43, 654/998

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 940/82, 644/43, 654/998?

Answer: LCM of Numerators as per given numbers 940/82, 644/43, 654/998 is

LCM of Numerators i.e. for 940,644,654 is 49488180

GCF of denominators i.e. for 82,43,998 is 1.

Thus, LCM of Fractions is 49488180.Finally, LCM of Fractions for 940/82, 644/43, 654/998 is 49488180.