Least Common Multiple of 93/74, 64/71, 952/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 93/74, 64/71, 952/712 quickly i.e. 708288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/74, 64/71, 952/712 is 708288.

LCM(93/74, 64/71, 952/712) = 708288

LCM of 93/74, 64/71, 952/712

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 93/74,64/71,952/712

Given numbers are 93/74,64/71,952/712

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 93,64,952

Least Common Multiple of Numerators i.e. LCM of 93,64,952 is 708288.

GCF of Denominators means GCF of 74,71,712 as per the given fractions.

GCF of 74,71,712 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,64,952

LCM of Fractions 93/74,64/71,952/712 is 708288

2 93, 64, 952
2 93, 32, 476
2 93, 16, 238
93, 8, 119

∴ So the LCM of the given numbers is 2 x 2 x 2 x 93 x 8 x 119 = 708288

Least Common Multiple of 93,64,952 with GCF Formula

Least Common Multiple of 93,64,952 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 93,64,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,64,952) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(93,64,952) x common factors =1 x 8 = 8

LCM(93,64,952) = ( 93 × 64 × 952 ) / 8

LCM(93,64,952) = 5666304 / 8

LCM(93,64,952) = 708288


Lets's calculate GCF of 74,71,712

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 708288/1

Therefore the LCM of Fractions 93/74,64/71,952/712 is 708288

Greatest Common Factor of 74,71,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,71,712 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 74,71,712 . The biggest common factor number is the GCF number.
So the greatest common factor 74,71,712 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 93/74, 64/71, 952/712

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 93/74, 64/71, 952/712?

Answer: LCM of Numerators as per given numbers 93/74, 64/71, 952/712 is

LCM of Numerators i.e. for 93,64,952 is 708288

GCF of denominators i.e. for 74,71,712 is 1.

Thus, LCM of Fractions is 708288.Finally, LCM of Fractions for 93/74, 64/71, 952/712 is 708288.