Least Common Multiple of 938/173, 408/862, 330/551

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 938/173, 408/862, 330/551 quickly i.e. 10524360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 938/173, 408/862, 330/551 is 10524360.

LCM(938/173, 408/862, 330/551) = 10524360

LCM of 938/173, 408/862, 330/551

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 938/173,408/862,330/551

Given numbers are 938/173,408/862,330/551

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 938,408,330

Least Common Multiple of Numerators i.e. LCM of 938,408,330 is 10524360.

GCF of Denominators means GCF of 173,862,551 as per the given fractions.

GCF of 173,862,551 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 938,408,330

LCM of Fractions 938/173,408/862,330/551 is 10524360

2 938, 408, 330
3 469, 204, 165
469, 68, 55

∴ So the LCM of the given numbers is 2 x 3 x 469 x 68 x 55 = 10524360

Least Common Multiple of 938,408,330 with GCF Formula

Least Common Multiple of 938,408,330 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 938,408,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,408,330) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(938,408,330) x common factors =2 x 6 = 12

LCM(938,408,330) = ( 938 × 408 × 330 ) / 12

LCM(938,408,330) = 126292320 / 12

LCM(938,408,330) = 10524360


Lets's calculate GCF of 173,862,551

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10524360/1

Therefore the LCM of Fractions 938/173,408/862,330/551 is 10524360

Greatest Common Factor of 173,862,551 By Matching Biggest Common Factor Method

Greatest Common Factor of 173,862,551 By Matching Biggest Common Factor Method

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Greatest Common Factor

We found the factors 173,862,551 . The biggest common factor number is the GCF number.
So the greatest common factor 173,862,551 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 938/173, 408/862, 330/551

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 938/173, 408/862, 330/551?

Answer: LCM of Numerators as per given numbers 938/173, 408/862, 330/551 is

LCM of Numerators i.e. for 938,408,330 is 10524360

GCF of denominators i.e. for 173,862,551 is 1.

Thus, LCM of Fractions is 10524360.Finally, LCM of Fractions for 938/173, 408/862, 330/551 is 10524360.