Least Common Multiple of 985/241, 126/177, 302/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 985/241, 126/177, 302/743 quickly i.e. 18740610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 985/241, 126/177, 302/743 is 18740610.

LCM(985/241, 126/177, 302/743) = 18740610

LCM of 985/241, 126/177, 302/743

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 985/241,126/177,302/743

Given numbers are 985/241,126/177,302/743

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 985,126,302

Least Common Multiple of Numerators i.e. LCM of 985,126,302 is 18740610.

GCF of Denominators means GCF of 241,177,743 as per the given fractions.

GCF of 241,177,743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 985,126,302

LCM of Fractions 985/241,126/177,302/743 is 18740610

2 985, 126, 302
985, 63, 151

∴ So the LCM of the given numbers is 2 x 985 x 63 x 151 = 18740610

Least Common Multiple of 985,126,302 with GCF Formula

Least Common Multiple of 985,126,302 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 985,126,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(985,126,302) = 1

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

GCF(985,126,302) x common factors =1 x 2 = 2

LCM(985,126,302) = ( 985 × 126 × 302 ) / 2

LCM(985,126,302) = 37481220 / 2

LCM(985,126,302) = 18740610


Lets's calculate GCF of 241,177,743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18740610/1

Therefore the LCM of Fractions 985/241,126/177,302/743 is 18740610

Greatest Common Factor of 241,177,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,177,743 By Matching Biggest Common Factor Method

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 241,177,743 . The biggest common factor number is the GCF number.
So the greatest common factor 241,177,743 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 985/241, 126/177, 302/743

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 985/241, 126/177, 302/743?

Answer: LCM of Numerators as per given numbers 985/241, 126/177, 302/743 is

LCM of Numerators i.e. for 985,126,302 is 18740610

GCF of denominators i.e. for 241,177,743 is 1.

Thus, LCM of Fractions is 18740610.Finally, LCM of Fractions for 985/241, 126/177, 302/743 is 18740610.