Least Common Multiple of 988/31, 3532/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 988/31, 3532/102 quickly i.e. 872404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 988/31, 3532/102 is 872404.

LCM(988/31, 3532/102) = 872404

LCM of 988/31, 3532/102

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 988/31,3532/102

Given numbers are 988/31,3532/102

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 988,3532

Least Common Multiple of Numerators i.e. LCM of 988,3532 is 872404.

GCF of Denominators means GCF of 31,102 as per the given fractions.

GCF of 31,102 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 988,3532

LCM of Fractions 988/31,3532/102 is 872404

2 988, 3532
2 494, 1766
247, 883

∴ So the LCM of the given numbers is 2 x 2 x 247 x 883 = 872404

Least Common Multiple of 988,3532 with GCF Formula

Least Common Multiple of 988,3532 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 988,3532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,3532) = 4

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

GCF(988,3532) x common factors =4 x 1 = 4

LCM(988,3532) = ( 988 × 3532 ) / 4

LCM(988,3532) = 3489616 / 4

LCM(988,3532) = 872404


Lets's calculate GCF of 31,102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 872404/1

Therefore the LCM of Fractions 988/31,3532/102 is 872404

Greatest Common Factor of 31,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,102 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 31,102 . The biggest common factor number is the GCF number.
So the greatest common factor 31,102 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 988/31, 3532/102

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 988/31, 3532/102?

Answer: LCM of Numerators as per given numbers 988/31, 3532/102 is

LCM of Numerators i.e. for 988,3532 is 872404

GCF of denominators i.e. for 31,102 is 1.

Thus, LCM of Fractions is 872404.Finally, LCM of Fractions for 988/31, 3532/102 is 872404.