Least Common Multiple of 100/959, 9200/3491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 100/959, 9200/3491 quickly i.e. 9200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 100/959, 9200/3491 is 9200.

LCM(100/959, 9200/3491) = 9200

LCM of 100/959, 9200/3491

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 100/959,9200/3491

Given numbers are 100/959,9200/3491

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 100,9200

Least Common Multiple of Numerators i.e. LCM of 100,9200 is 9200.

GCF of Denominators means GCF of 959,3491 as per the given fractions.

GCF of 959,3491 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 100,9200

LCM of Fractions 100/959,9200/3491 is 9200

2 100, 9200
2 50, 4600
5 25, 2300
5 5, 460
1, 92

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 1 x 92 = 9200

Least Common Multiple of 100,9200 with GCF Formula

Least Common Multiple of 100,9200 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 100,9200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,9200) = 100

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

GCF(100,9200) x common factors =100 x 1 = 100

LCM(100,9200) = ( 100 × 9200 ) / 100

LCM(100,9200) = 920000 / 100

LCM(100,9200) = 9200


Lets's calculate GCF of 959,3491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9200/1

Therefore the LCM of Fractions 100/959,9200/3491 is 9200

Greatest Common Factor of 959,3491 By Matching Biggest Common Factor Method

Greatest Common Factor of 959,3491 By Matching Biggest Common Factor Method

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 3491

List of positive integer factors of 3491 that divides 3491 without a remainder.

1,3491

Greatest Common Factor

We found the factors 959,3491 . The biggest common factor number is the GCF number.
So the greatest common factor 959,3491 is 1.


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 100/959, 9200/3491

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 100/959, 9200/3491?

Answer: LCM of Numerators as per given numbers 100/959, 9200/3491 is

LCM of Numerators i.e. for 100,9200 is 9200

GCF of denominators i.e. for 959,3491 is 1.

Thus, LCM of Fractions is 9200.Finally, LCM of Fractions for 100/959, 9200/3491 is 9200.