Least Common Multiple of 90/451, 27/836, 764/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/451, 27/836, 764/572 quickly i.e. 103140/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/451, 27/836, 764/572 is 103140/11.

LCM(90/451, 27/836, 764/572) = 103140/11

LCM of 90/451, 27/836, 764/572

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 90/451,27/836,764/572

Given numbers are 90/451,27/836,764/572

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 90,27,764

Least Common Multiple of Numerators i.e. LCM of 90,27,764 is 103140.

GCF of Denominators means GCF of 451,836,572 as per the given fractions.

GCF of 451,836,572 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,27,764

LCM of Fractions 90/451,27/836,764/572 is 103140/11

2 90, 27, 764
3 45, 27, 382
3 15, 9, 382
5, 3, 382

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 3 x 382 = 103140

Least Common Multiple of 90,27,764 with GCF Formula

Least Common Multiple of 90,27,764 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 90,27,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,27,764) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(90,27,764) x common factors =1 x 18 = 18

LCM(90,27,764) = ( 90 × 27 × 764 ) / 18

LCM(90,27,764) = 1856520 / 18

LCM(90,27,764) = 103140


Lets's calculate GCF of 451,836,572

11 451, 836, 572
41, 76, 52

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103140/11

Therefore the LCM of Fractions 90/451,27/836,764/572 is 103140/11

Greatest Common Factor of 451,836,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 451,836,572 By Matching Biggest Common Factor Method

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 451,836,572 . The biggest common factor number is the GCF number.
So the greatest common factor 451,836,572 is 11.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 90/451, 27/836, 764/572

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 90/451, 27/836, 764/572?

Answer: LCM of Numerators as per given numbers 90/451, 27/836, 764/572 is

LCM of Numerators i.e. for 90,27,764 is 103140

GCF of denominators i.e. for 451,836,572 is 11.

Thus, LCM of Fractions is 103140/11.Finally, LCM of Fractions for 90/451, 27/836, 764/572 is 103140/11.