Least Common Multiple of 107/75, 918/97, 263/87

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 107/75, 918/97, 263/87 quickly i.e. 25833438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 107/75, 918/97, 263/87 is 25833438.

LCM(107/75, 918/97, 263/87) = 25833438

LCM of 107/75, 918/97, 263/87

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 107/75,918/97,263/87

Given numbers are 107/75,918/97,263/87

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 107,918,263

Least Common Multiple of Numerators i.e. LCM of 107,918,263 is 25833438.

GCF of Denominators means GCF of 75,97,87 as per the given fractions.

GCF of 75,97,87 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 107,918,263

LCM of Fractions 107/75,918/97,263/87 is 25833438

Given numbers has no common factors except 1. So, there LCM is their product i.e 25833438

Least Common Multiple of 107,918,263 with GCF Formula

Least Common Multiple of 107,918,263 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 107,918,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,918,263) = 1

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

GCF(107,918,263) x common factors =1 x 1 = 1

LCM(107,918,263) = ( 107 × 918 × 263 ) / 1

LCM(107,918,263) = 25833438 / 1

LCM(107,918,263) = 25833438


Lets's calculate GCF of 75,97,87

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25833438/1

Therefore the LCM of Fractions 107/75,918/97,263/87 is 25833438

Greatest Common Factor of 75,97,87 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,97,87 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Greatest Common Factor

We found the factors 75,97,87 . The biggest common factor number is the GCF number.
So the greatest common factor 75,97,87 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 107/75, 918/97, 263/87

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 107/75, 918/97, 263/87?

Answer: LCM of Numerators as per given numbers 107/75, 918/97, 263/87 is

LCM of Numerators i.e. for 107,918,263 is 25833438

GCF of denominators i.e. for 75,97,87 is 1.

Thus, LCM of Fractions is 25833438.Finally, LCM of Fractions for 107/75, 918/97, 263/87 is 25833438.