Least Common Multiple of 398/216, 967/731, 188/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 398/216, 967/731, 188/140 quickly i.e. 36177404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/216, 967/731, 188/140 is 36177404.

LCM(398/216, 967/731, 188/140) = 36177404

LCM of 398/216, 967/731, 188/140

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 398/216,967/731,188/140

Given numbers are 398/216,967/731,188/140

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 398,967,188

Least Common Multiple of Numerators i.e. LCM of 398,967,188 is 36177404.

GCF of Denominators means GCF of 216,731,140 as per the given fractions.

GCF of 216,731,140 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,967,188

LCM of Fractions 398/216,967/731,188/140 is 36177404

2 398, 967, 188
199, 967, 94

∴ So the LCM of the given numbers is 2 x 199 x 967 x 94 = 36177404

Least Common Multiple of 398,967,188 with GCF Formula

Least Common Multiple of 398,967,188 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 398,967,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,967,188) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(398,967,188) x common factors =1 x 2 = 2

LCM(398,967,188) = ( 398 × 967 × 188 ) / 2

LCM(398,967,188) = 72354808 / 2

LCM(398,967,188) = 36177404


Lets's calculate GCF of 216,731,140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36177404/1

Therefore the LCM of Fractions 398/216,967/731,188/140 is 36177404

Greatest Common Factor of 216,731,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,731,140 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 216,731,140 . The biggest common factor number is the GCF number.
So the greatest common factor 216,731,140 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 398/216, 967/731, 188/140

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 398/216, 967/731, 188/140?

Answer: LCM of Numerators as per given numbers 398/216, 967/731, 188/140 is

LCM of Numerators i.e. for 398,967,188 is 36177404

GCF of denominators i.e. for 216,731,140 is 1.

Thus, LCM of Fractions is 36177404.Finally, LCM of Fractions for 398/216, 967/731, 188/140 is 36177404.