Least Common Multiple of 899/64, 261/8962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 899/64, 261/8962 quickly i.e. 8091/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 899/64, 261/8962 is 8091/2.

LCM(899/64, 261/8962) = 8091/2

LCM of 899/64, 261/8962

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 899/64,261/8962

Given numbers are 899/64,261/8962

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 899,261

Least Common Multiple of Numerators i.e. LCM of 899,261 is 8091.

GCF of Denominators means GCF of 64,8962 as per the given fractions.

GCF of 64,8962 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 899,261

LCM of Fractions 899/64,261/8962 is 8091/2

29 899, 261
31, 9

∴ So the LCM of the given numbers is 29 x 31 x 9 = 8091

Least Common Multiple of 899,261 with GCF Formula

Least Common Multiple of 899,261 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 899,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,261) = 29

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

GCF(899,261) x common factors =29 x 1 = 29

LCM(899,261) = ( 899 × 261 ) / 29

LCM(899,261) = 234639 / 29

LCM(899,261) = 8091


Lets's calculate GCF of 64,8962

2 64, 8962
32, 4481

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8091/2

Therefore the LCM of Fractions 899/64,261/8962 is 8091/2

Greatest Common Factor of 64,8962 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,8962 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 8962

List of positive integer factors of 8962 that divides 8962 without a remainder.

1,2,4481,8962

Greatest Common Factor

We found the factors 64,8962 . The biggest common factor number is the GCF number.
So the greatest common factor 64,8962 is 2.


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Frequently Asked Questions on Fractional LCM of 899/64, 261/8962

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 899/64, 261/8962?

Answer: LCM of Numerators as per given numbers 899/64, 261/8962 is

LCM of Numerators i.e. for 899,261 is 8091

GCF of denominators i.e. for 64,8962 is 2.

Thus, LCM of Fractions is 8091/2.Finally, LCM of Fractions for 899/64, 261/8962 is 8091/2.