Least Common Multiple of 76/398, 32/844, 370/113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/398, 32/844, 370/113 quickly i.e. 112480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/398, 32/844, 370/113 is 112480.

LCM(76/398, 32/844, 370/113) = 112480

LCM of 76/398, 32/844, 370/113

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 76/398,32/844,370/113

Given numbers are 76/398,32/844,370/113

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 76,32,370

Least Common Multiple of Numerators i.e. LCM of 76,32,370 is 112480.

GCF of Denominators means GCF of 398,844,113 as per the given fractions.

GCF of 398,844,113 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,32,370

LCM of Fractions 76/398,32/844,370/113 is 112480

2 76, 32, 370
2 38, 16, 185
19, 8, 185

∴ So the LCM of the given numbers is 2 x 2 x 19 x 8 x 185 = 112480

Least Common Multiple of 76,32,370 with GCF Formula

Least Common Multiple of 76,32,370 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 76,32,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,32,370) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(76,32,370) x common factors =2 x 4 = 8

LCM(76,32,370) = ( 76 × 32 × 370 ) / 8

LCM(76,32,370) = 899840 / 8

LCM(76,32,370) = 112480


Lets's calculate GCF of 398,844,113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112480/1

Therefore the LCM of Fractions 76/398,32/844,370/113 is 112480

Greatest Common Factor of 398,844,113 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,844,113 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Greatest Common Factor

We found the factors 398,844,113 . The biggest common factor number is the GCF number.
So the greatest common factor 398,844,113 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 76/398, 32/844, 370/113

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 76/398, 32/844, 370/113?

Answer: LCM of Numerators as per given numbers 76/398, 32/844, 370/113 is

LCM of Numerators i.e. for 76,32,370 is 112480

GCF of denominators i.e. for 398,844,113 is 1.

Thus, LCM of Fractions is 112480.Finally, LCM of Fractions for 76/398, 32/844, 370/113 is 112480.