Least Common Multiple of 83/96, 63/52, 471/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/96, 63/52, 471/616 quickly i.e. 820953/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/96, 63/52, 471/616 is 820953/4.

LCM(83/96, 63/52, 471/616) = 820953/4

LCM of 83/96, 63/52, 471/616

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 83/96,63/52,471/616

Given numbers are 83/96,63/52,471/616

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 83,63,471

Least Common Multiple of Numerators i.e. LCM of 83,63,471 is 820953.

GCF of Denominators means GCF of 96,52,616 as per the given fractions.

GCF of 96,52,616 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,63,471

LCM of Fractions 83/96,63/52,471/616 is 820953/4

3 83, 63, 471
83, 21, 157

∴ So the LCM of the given numbers is 3 x 83 x 21 x 157 = 820953

Least Common Multiple of 83,63,471 with GCF Formula

Least Common Multiple of 83,63,471 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 83,63,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,63,471) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(83,63,471) x common factors =1 x 3 = 3

LCM(83,63,471) = ( 83 × 63 × 471 ) / 3

LCM(83,63,471) = 2462859 / 3

LCM(83,63,471) = 820953


Lets's calculate GCF of 96,52,616

2 96, 52, 616
2 48, 26, 308
24, 13, 154

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 820953/4

Therefore the LCM of Fractions 83/96,63/52,471/616 is 820953/4

Greatest Common Factor of 96,52,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,52,616 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 52

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

1,2,4,13,26,52

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 96,52,616 . The biggest common factor number is the GCF number.
So the greatest common factor 96,52,616 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 83/96, 63/52, 471/616

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 83/96, 63/52, 471/616?

Answer: LCM of Numerators as per given numbers 83/96, 63/52, 471/616 is

LCM of Numerators i.e. for 83,63,471 is 820953

GCF of denominators i.e. for 96,52,616 is 4.

Thus, LCM of Fractions is 820953/4.Finally, LCM of Fractions for 83/96, 63/52, 471/616 is 820953/4.