Least Common Multiple of 74/73, 84/95, 476/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 74/73, 84/95, 476/708 quickly i.e. 52836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/73, 84/95, 476/708 is 52836.

LCM(74/73, 84/95, 476/708) = 52836

LCM of 74/73, 84/95, 476/708

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 74/73,84/95,476/708

Given numbers are 74/73,84/95,476/708

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 74,84,476

Least Common Multiple of Numerators i.e. LCM of 74,84,476 is 52836.

GCF of Denominators means GCF of 73,95,708 as per the given fractions.

GCF of 73,95,708 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,84,476

LCM of Fractions 74/73,84/95,476/708 is 52836

2 74, 84, 476
2 37, 42, 238
7 37, 21, 119
37, 3, 17

∴ So the LCM of the given numbers is 2 x 2 x 7 x 37 x 3 x 17 = 52836

Least Common Multiple of 74,84,476 with GCF Formula

Least Common Multiple of 74,84,476 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 74,84,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,84,476) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(74,84,476) x common factors =2 x 28 = 56

LCM(74,84,476) = ( 74 × 84 × 476 ) / 56

LCM(74,84,476) = 2958816 / 56

LCM(74,84,476) = 52836


Lets's calculate GCF of 73,95,708

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52836/1

Therefore the LCM of Fractions 74/73,84/95,476/708 is 52836

Greatest Common Factor of 73,95,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,95,708 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 73,95,708 . The biggest common factor number is the GCF number.
So the greatest common factor 73,95,708 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 74/73, 84/95, 476/708

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 74/73, 84/95, 476/708?

Answer: LCM of Numerators as per given numbers 74/73, 84/95, 476/708 is

LCM of Numerators i.e. for 74,84,476 is 52836

GCF of denominators i.e. for 73,95,708 is 1.

Thus, LCM of Fractions is 52836.Finally, LCM of Fractions for 74/73, 84/95, 476/708 is 52836.