Least Common Multiple of 83/100, 61/352, 963/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/100, 61/352, 963/502 quickly i.e. 4875669/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/100, 61/352, 963/502 is 4875669/2.

LCM(83/100, 61/352, 963/502) = 4875669/2

LCM of 83/100, 61/352, 963/502

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 83/100,61/352,963/502

Given numbers are 83/100,61/352,963/502

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 83,61,963

Least Common Multiple of Numerators i.e. LCM of 83,61,963 is 4875669.

GCF of Denominators means GCF of 100,352,502 as per the given fractions.

GCF of 100,352,502 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,61,963

LCM of Fractions 83/100,61/352,963/502 is 4875669/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 4875669

Least Common Multiple of 83,61,963 with GCF Formula

Least Common Multiple of 83,61,963 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 83,61,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,61,963) = 1

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

GCF(83,61,963) x common factors =1 x 1 = 1

LCM(83,61,963) = ( 83 × 61 × 963 ) / 1

LCM(83,61,963) = 4875669 / 1

LCM(83,61,963) = 4875669


Lets's calculate GCF of 100,352,502

2 100, 352, 502
50, 176, 251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4875669/2

Therefore the LCM of Fractions 83/100,61/352,963/502 is 4875669/2

Greatest Common Factor of 100,352,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,352,502 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 100,352,502 . The biggest common factor number is the GCF number.
So the greatest common factor 100,352,502 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/100, 61/352, 963/502

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 83/100, 61/352, 963/502?

Answer: LCM of Numerators as per given numbers 83/100, 61/352, 963/502 is

LCM of Numerators i.e. for 83,61,963 is 4875669

GCF of denominators i.e. for 100,352,502 is 2.

Thus, LCM of Fractions is 4875669/2.Finally, LCM of Fractions for 83/100, 61/352, 963/502 is 4875669/2.