Least Common Multiple of 80/94, 55/46, 282/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 80/94, 55/46, 282/241 quickly i.e. 124080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/94, 55/46, 282/241 is 124080.

LCM(80/94, 55/46, 282/241) = 124080

LCM of 80/94, 55/46, 282/241

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 80/94,55/46,282/241

Given numbers are 80/94,55/46,282/241

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 80,55,282

Least Common Multiple of Numerators i.e. LCM of 80,55,282 is 124080.

GCF of Denominators means GCF of 94,46,241 as per the given fractions.

GCF of 94,46,241 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,55,282

LCM of Fractions 80/94,55/46,282/241 is 124080

2 80, 55, 282
5 40, 55, 141
8, 11, 141

∴ So the LCM of the given numbers is 2 x 5 x 8 x 11 x 141 = 124080

Least Common Multiple of 80,55,282 with GCF Formula

Least Common Multiple of 80,55,282 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 80,55,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,55,282) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(80,55,282) x common factors =1 x 10 = 10

LCM(80,55,282) = ( 80 × 55 × 282 ) / 10

LCM(80,55,282) = 1240800 / 10

LCM(80,55,282) = 124080


Lets's calculate GCF of 94,46,241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124080/1

Therefore the LCM of Fractions 80/94,55/46,282/241 is 124080

Greatest Common Factor of 94,46,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,46,241 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 241

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

1,241

Greatest Common Factor

We found the factors 94,46,241 . The biggest common factor number is the GCF number.
So the greatest common factor 94,46,241 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 80/94, 55/46, 282/241

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 80/94, 55/46, 282/241?

Answer: LCM of Numerators as per given numbers 80/94, 55/46, 282/241 is

LCM of Numerators i.e. for 80,55,282 is 124080

GCF of denominators i.e. for 94,46,241 is 1.

Thus, LCM of Fractions is 124080.Finally, LCM of Fractions for 80/94, 55/46, 282/241 is 124080.