Least Common Multiple of 7417/944, 8377/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7417/944, 8377/672 quickly i.e. 62132209/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7417/944, 8377/672 is 62132209/16.

LCM(7417/944, 8377/672) = 62132209/16

LCM of 7417/944, 8377/672

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 7417/944,8377/672

Given numbers are 7417/944,8377/672

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 7417,8377

Least Common Multiple of Numerators i.e. LCM of 7417,8377 is 62132209.

GCF of Denominators means GCF of 944,672 as per the given fractions.

GCF of 944,672 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7417,8377

LCM of Fractions 7417/944,8377/672 is 62132209/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 62132209

Least Common Multiple of 7417,8377 with GCF Formula

Least Common Multiple of 7417,8377 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 7417,8377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7417,8377) = 1

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

GCF(7417,8377) x common factors =1 x 1 = 1

LCM(7417,8377) = ( 7417 × 8377 ) / 1

LCM(7417,8377) = 62132209 / 1

LCM(7417,8377) = 62132209


Lets's calculate GCF of 944,672

2 944, 672
2 472, 336
2 236, 168
2 118, 84
59, 42

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62132209/16

Therefore the LCM of Fractions 7417/944,8377/672 is 62132209/16

Greatest Common Factor of 944,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 944,672 By Matching Biggest Common Factor Method

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 944,672 . The biggest common factor number is the GCF number.
So the greatest common factor 944,672 is 16.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7417/944, 8377/672

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 7417/944, 8377/672?

Answer: LCM of Numerators as per given numbers 7417/944, 8377/672 is

LCM of Numerators i.e. for 7417,8377 is 62132209

GCF of denominators i.e. for 944,672 is 16.

Thus, LCM of Fractions is 62132209/16.Finally, LCM of Fractions for 7417/944, 8377/672 is 62132209/16.