Least Common Multiple of 400/99, 932/6140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 400/99, 932/6140 quickly i.e. 93200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 400/99, 932/6140 is 93200.

LCM(400/99, 932/6140) = 93200

LCM of 400/99, 932/6140

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 400/99,932/6140

Given numbers are 400/99,932/6140

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 400,932

Least Common Multiple of Numerators i.e. LCM of 400,932 is 93200.

GCF of Denominators means GCF of 99,6140 as per the given fractions.

GCF of 99,6140 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 400,932

LCM of Fractions 400/99,932/6140 is 93200

2 400, 932
2 200, 466
100, 233

∴ So the LCM of the given numbers is 2 x 2 x 100 x 233 = 93200

Least Common Multiple of 400,932 with GCF Formula

Least Common Multiple of 400,932 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 400,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,932) = 4

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

GCF(400,932) x common factors =4 x 1 = 4

LCM(400,932) = ( 400 × 932 ) / 4

LCM(400,932) = 372800 / 4

LCM(400,932) = 93200


Lets's calculate GCF of 99,6140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93200/1

Therefore the LCM of Fractions 400/99,932/6140 is 93200

Greatest Common Factor of 99,6140 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,6140 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 6140

List of positive integer factors of 6140 that divides 6140 without a remainder.

1,2,4,5,10,20,307,614,1228,1535,3070,6140

Greatest Common Factor

We found the factors 99,6140 . The biggest common factor number is the GCF number.
So the greatest common factor 99,6140 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 400/99, 932/6140

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 400/99, 932/6140?

Answer: LCM of Numerators as per given numbers 400/99, 932/6140 is

LCM of Numerators i.e. for 400,932 is 93200

GCF of denominators i.e. for 99,6140 is 1.

Thus, LCM of Fractions is 93200.Finally, LCM of Fractions for 400/99, 932/6140 is 93200.