Least Common Multiple of 4584/936, 9419/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4584/936, 9419/628 quickly i.e. 10794174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4584/936, 9419/628 is 10794174.

LCM(4584/936, 9419/628) = 10794174

LCM of 4584/936, 9419/628

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 4584/936,9419/628

Given numbers are 4584/936,9419/628

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 4584,9419

Least Common Multiple of Numerators i.e. LCM of 4584,9419 is 43176696.

GCF of Denominators means GCF of 936,628 as per the given fractions.

GCF of 936,628 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4584,9419

LCM of Fractions 4584/936,9419/628 is 10794174

Given numbers has no common factors except 1. So, there LCM is their product i.e 43176696

Least Common Multiple of 4584,9419 with GCF Formula

Least Common Multiple of 4584,9419 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 4584,9419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4584,9419) = 1

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

GCF(4584,9419) x common factors =1 x 1 = 1

LCM(4584,9419) = ( 4584 × 9419 ) / 1

LCM(4584,9419) = 43176696 / 1

LCM(4584,9419) = 43176696


Lets's calculate GCF of 936,628

2 936, 628
2 468, 314
234, 157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43176696/4

Therefore the LCM of Fractions 4584/936,9419/628 is 10794174

Greatest Common Factor of 936,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,628 By Matching Biggest Common Factor Method

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 936,628 . The biggest common factor number is the GCF number.
So the greatest common factor 936,628 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4584/936, 9419/628

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 4584/936, 9419/628?

Answer: LCM of Numerators as per given numbers 4584/936, 9419/628 is

LCM of Numerators i.e. for 4584,9419 is 43176696

GCF of denominators i.e. for 936,628 is 4.

Thus, LCM of Fractions is 10794174.Finally, LCM of Fractions for 4584/936, 9419/628 is 10794174.