Least Common Multiple of 117/35, 8041/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 117/35, 8041/558 quickly i.e. 940797 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 117/35, 8041/558 is 940797.

LCM(117/35, 8041/558) = 940797

LCM of 117/35, 8041/558

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 117/35,8041/558

Given numbers are 117/35,8041/558

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 117,8041

Least Common Multiple of Numerators i.e. LCM of 117,8041 is 940797.

GCF of Denominators means GCF of 35,558 as per the given fractions.

GCF of 35,558 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 117,8041

LCM of Fractions 117/35,8041/558 is 940797

Given numbers has no common factors except 1. So, there LCM is their product i.e 940797

Least Common Multiple of 117,8041 with GCF Formula

Least Common Multiple of 117,8041 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 117,8041 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,8041) = 1

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

GCF(117,8041) x common factors =1 x 1 = 1

LCM(117,8041) = ( 117 × 8041 ) / 1

LCM(117,8041) = 940797 / 1

LCM(117,8041) = 940797


Lets's calculate GCF of 35,558

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 940797/1

Therefore the LCM of Fractions 117/35,8041/558 is 940797

Greatest Common Factor of 35,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,558 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 35,558 . The biggest common factor number is the GCF number.
So the greatest common factor 35,558 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 117/35, 8041/558

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 117/35, 8041/558?

Answer: LCM of Numerators as per given numbers 117/35, 8041/558 is

LCM of Numerators i.e. for 117,8041 is 940797

GCF of denominators i.e. for 35,558 is 1.

Thus, LCM of Fractions is 940797.Finally, LCM of Fractions for 117/35, 8041/558 is 940797.