Least Common Multiple of 404/93, 919/68, 952/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 404/93, 919/68, 952/731 quickly i.e. 88363688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 404/93, 919/68, 952/731 is 88363688.

LCM(404/93, 919/68, 952/731) = 88363688

LCM of 404/93, 919/68, 952/731

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 404/93,919/68,952/731

Given numbers are 404/93,919/68,952/731

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 404,919,952

Least Common Multiple of Numerators i.e. LCM of 404,919,952 is 88363688.

GCF of Denominators means GCF of 93,68,731 as per the given fractions.

GCF of 93,68,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 404,919,952

LCM of Fractions 404/93,919/68,952/731 is 88363688

2 404, 919, 952
2 202, 919, 476
101, 919, 238

∴ So the LCM of the given numbers is 2 x 2 x 101 x 919 x 238 = 88363688

Least Common Multiple of 404,919,952 with GCF Formula

Least Common Multiple of 404,919,952 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 404,919,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,919,952) = 1

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

GCF(404,919,952) x common factors =1 x 4 = 4

LCM(404,919,952) = ( 404 × 919 × 952 ) / 4

LCM(404,919,952) = 353454752 / 4

LCM(404,919,952) = 88363688


Lets's calculate GCF of 93,68,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88363688/1

Therefore the LCM of Fractions 404/93,919/68,952/731 is 88363688

Greatest Common Factor of 93,68,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,68,731 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 731

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

1,17,43,731

Greatest Common Factor

We found the factors 93,68,731 . The biggest common factor number is the GCF number.
So the greatest common factor 93,68,731 is 1.


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Frequently Asked Questions on Fractional LCM of 404/93, 919/68, 952/731

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 404/93, 919/68, 952/731?

Answer: LCM of Numerators as per given numbers 404/93, 919/68, 952/731 is

LCM of Numerators i.e. for 404,919,952 is 88363688

GCF of denominators i.e. for 93,68,731 is 1.

Thus, LCM of Fractions is 88363688.Finally, LCM of Fractions for 404/93, 919/68, 952/731 is 88363688.