Least Common Multiple of 894/867, 453/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 894/867, 453/760 quickly i.e. 134994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 894/867, 453/760 is 134994.

LCM(894/867, 453/760) = 134994

LCM of 894/867, 453/760

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 894/867,453/760

Given numbers are 894/867,453/760

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 894,453

Least Common Multiple of Numerators i.e. LCM of 894,453 is 134994.

GCF of Denominators means GCF of 867,760 as per the given fractions.

GCF of 867,760 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 894,453

LCM of Fractions 894/867,453/760 is 134994

3 894, 453
298, 151

∴ So the LCM of the given numbers is 3 x 298 x 151 = 134994

Least Common Multiple of 894,453 with GCF Formula

Least Common Multiple of 894,453 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 894,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,453) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(894,453) x common factors =3 x 1 = 3

LCM(894,453) = ( 894 × 453 ) / 3

LCM(894,453) = 404982 / 3

LCM(894,453) = 134994


Lets's calculate GCF of 867,760

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134994/1

Therefore the LCM of Fractions 894/867,453/760 is 134994

Greatest Common Factor of 867,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,760 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 867,760 . The biggest common factor number is the GCF number.
So the greatest common factor 867,760 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 894/867, 453/760

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 894/867, 453/760?

Answer: LCM of Numerators as per given numbers 894/867, 453/760 is

LCM of Numerators i.e. for 894,453 is 134994

GCF of denominators i.e. for 867,760 is 1.

Thus, LCM of Fractions is 134994.Finally, LCM of Fractions for 894/867, 453/760 is 134994.