Least Common Multiple of 334/37, 908/75, 551/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 334/37, 908/75, 551/832 quickly i.e. 83551436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 334/37, 908/75, 551/832 is 83551436.

LCM(334/37, 908/75, 551/832) = 83551436

LCM of 334/37, 908/75, 551/832

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 334/37,908/75,551/832

Given numbers are 334/37,908/75,551/832

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 334,908,551

Least Common Multiple of Numerators i.e. LCM of 334,908,551 is 83551436.

GCF of Denominators means GCF of 37,75,832 as per the given fractions.

GCF of 37,75,832 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 334,908,551

LCM of Fractions 334/37,908/75,551/832 is 83551436

2 334, 908, 551
167, 454, 551

∴ So the LCM of the given numbers is 2 x 167 x 454 x 551 = 83551436

Least Common Multiple of 334,908,551 with GCF Formula

Least Common Multiple of 334,908,551 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 334,908,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,908,551) = 1

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

GCF(334,908,551) x common factors =1 x 2 = 2

LCM(334,908,551) = ( 334 × 908 × 551 ) / 2

LCM(334,908,551) = 167102872 / 2

LCM(334,908,551) = 83551436


Lets's calculate GCF of 37,75,832

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83551436/1

Therefore the LCM of Fractions 334/37,908/75,551/832 is 83551436

Greatest Common Factor of 37,75,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,75,832 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 37,75,832 . The biggest common factor number is the GCF number.
So the greatest common factor 37,75,832 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 334/37, 908/75, 551/832

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 334/37, 908/75, 551/832?

Answer: LCM of Numerators as per given numbers 334/37, 908/75, 551/832 is

LCM of Numerators i.e. for 334,908,551 is 83551436

GCF of denominators i.e. for 37,75,832 is 1.

Thus, LCM of Fractions is 83551436.Finally, LCM of Fractions for 334/37, 908/75, 551/832 is 83551436.