Least Common Multiple of 899/26, 544/91, 362/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 899/26, 544/91, 362/565 quickly i.e. 88519136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 899/26, 544/91, 362/565 is 88519136.

LCM(899/26, 544/91, 362/565) = 88519136

LCM of 899/26, 544/91, 362/565

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 899/26,544/91,362/565

Given numbers are 899/26,544/91,362/565

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 899,544,362

Least Common Multiple of Numerators i.e. LCM of 899,544,362 is 88519136.

GCF of Denominators means GCF of 26,91,565 as per the given fractions.

GCF of 26,91,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 899,544,362

LCM of Fractions 899/26,544/91,362/565 is 88519136

2 899, 544, 362
899, 272, 181

∴ So the LCM of the given numbers is 2 x 899 x 272 x 181 = 88519136

Least Common Multiple of 899,544,362 with GCF Formula

Least Common Multiple of 899,544,362 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 899,544,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,544,362) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(899,544,362) x common factors =1 x 2 = 2

LCM(899,544,362) = ( 899 × 544 × 362 ) / 2

LCM(899,544,362) = 177038272 / 2

LCM(899,544,362) = 88519136


Lets's calculate GCF of 26,91,565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88519136/1

Therefore the LCM of Fractions 899/26,544/91,362/565 is 88519136

Greatest Common Factor of 26,91,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,91,565 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 26,91,565 . The biggest common factor number is the GCF number.
So the greatest common factor 26,91,565 is 1.


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Frequently Asked Questions on Fractional LCM of 899/26, 544/91, 362/565

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 899/26, 544/91, 362/565?

Answer: LCM of Numerators as per given numbers 899/26, 544/91, 362/565 is

LCM of Numerators i.e. for 899,544,362 is 88519136

GCF of denominators i.e. for 26,91,565 is 1.

Thus, LCM of Fractions is 88519136.Finally, LCM of Fractions for 899/26, 544/91, 362/565 is 88519136.