Least Common Multiple of 27/557, 353/413, 104/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 27/557, 353/413, 104/985 quickly i.e. 991224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/557, 353/413, 104/985 is 991224.

LCM(27/557, 353/413, 104/985) = 991224

LCM of 27/557, 353/413, 104/985

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 27/557,353/413,104/985

Given numbers are 27/557,353/413,104/985

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 27,353,104

Least Common Multiple of Numerators i.e. LCM of 27,353,104 is 991224.

GCF of Denominators means GCF of 557,413,985 as per the given fractions.

GCF of 557,413,985 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,353,104

LCM of Fractions 27/557,353/413,104/985 is 991224

Given numbers has no common factors except 1. So, there LCM is their product i.e 991224

Least Common Multiple of 27,353,104 with GCF Formula

Least Common Multiple of 27,353,104 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 27,353,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,353,104) = 1

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

GCF(27,353,104) x common factors =1 x 1 = 1

LCM(27,353,104) = ( 27 × 353 × 104 ) / 1

LCM(27,353,104) = 991224 / 1

LCM(27,353,104) = 991224


Lets's calculate GCF of 557,413,985

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 991224/1

Therefore the LCM of Fractions 27/557,353/413,104/985 is 991224

Greatest Common Factor of 557,413,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 557,413,985 By Matching Biggest Common Factor Method

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 557,413,985 . The biggest common factor number is the GCF number.
So the greatest common factor 557,413,985 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 27/557, 353/413, 104/985

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 27/557, 353/413, 104/985?

Answer: LCM of Numerators as per given numbers 27/557, 353/413, 104/985 is

LCM of Numerators i.e. for 27,353,104 is 991224

GCF of denominators i.e. for 557,413,985 is 1.

Thus, LCM of Fractions is 991224.Finally, LCM of Fractions for 27/557, 353/413, 104/985 is 991224.