Least Common Multiple of 38/917, 415/944, 996/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/917, 415/944, 996/752 quickly i.e. 94620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/917, 415/944, 996/752 is 94620.

LCM(38/917, 415/944, 996/752) = 94620

LCM of 38/917, 415/944, 996/752

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 38/917,415/944,996/752

Given numbers are 38/917,415/944,996/752

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 38,415,996

Least Common Multiple of Numerators i.e. LCM of 38,415,996 is 94620.

GCF of Denominators means GCF of 917,944,752 as per the given fractions.

GCF of 917,944,752 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,415,996

LCM of Fractions 38/917,415/944,996/752 is 94620

2 38, 415, 996
83 19, 415, 498
19, 5, 6

∴ So the LCM of the given numbers is 2 x 83 x 19 x 5 x 6 = 94620

Least Common Multiple of 38,415,996 with GCF Formula

Least Common Multiple of 38,415,996 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 38,415,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,415,996) = 1

common factors(in case of two or more numbers have common factors) = 166

GCF(38,415,996) x common factors =1 x 166 = 166

LCM(38,415,996) = ( 38 × 415 × 996 ) / 166

LCM(38,415,996) = 15706920 / 166

LCM(38,415,996) = 94620


Lets's calculate GCF of 917,944,752

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94620/1

Therefore the LCM of Fractions 38/917,415/944,996/752 is 94620

Greatest Common Factor of 917,944,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 917,944,752 By Matching Biggest Common Factor Method

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 917,944,752 . The biggest common factor number is the GCF number.
So the greatest common factor 917,944,752 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 38/917, 415/944, 996/752

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 38/917, 415/944, 996/752?

Answer: LCM of Numerators as per given numbers 38/917, 415/944, 996/752 is

LCM of Numerators i.e. for 38,415,996 is 94620

GCF of denominators i.e. for 917,944,752 is 1.

Thus, LCM of Fractions is 94620.Finally, LCM of Fractions for 38/917, 415/944, 996/752 is 94620.