Least Common Multiple of 616/52, 363/9475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 616/52, 363/9475 quickly i.e. 20328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 616/52, 363/9475 is 20328.

LCM(616/52, 363/9475) = 20328

LCM of 616/52, 363/9475

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 616/52,363/9475

Given numbers are 616/52,363/9475

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 616,363

Least Common Multiple of Numerators i.e. LCM of 616,363 is 20328.

GCF of Denominators means GCF of 52,9475 as per the given fractions.

GCF of 52,9475 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 616,363

LCM of Fractions 616/52,363/9475 is 20328

11 616, 363
56, 33

∴ So the LCM of the given numbers is 11 x 56 x 33 = 20328

Least Common Multiple of 616,363 with GCF Formula

Least Common Multiple of 616,363 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 616,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,363) = 11

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

GCF(616,363) x common factors =11 x 1 = 11

LCM(616,363) = ( 616 × 363 ) / 11

LCM(616,363) = 223608 / 11

LCM(616,363) = 20328


Lets's calculate GCF of 52,9475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20328/1

Therefore the LCM of Fractions 616/52,363/9475 is 20328

Greatest Common Factor of 52,9475 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,9475 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 9475

List of positive integer factors of 9475 that divides 9475 without a remainder.

1,5,25,379,1895,9475

Greatest Common Factor

We found the factors 52,9475 . The biggest common factor number is the GCF number.
So the greatest common factor 52,9475 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 616/52, 363/9475

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 616/52, 363/9475?

Answer: LCM of Numerators as per given numbers 616/52, 363/9475 is

LCM of Numerators i.e. for 616,363 is 20328

GCF of denominators i.e. for 52,9475 is 1.

Thus, LCM of Fractions is 20328.Finally, LCM of Fractions for 616/52, 363/9475 is 20328.