Least Common Multiple of 80/42, 25/46, 55/13, 32/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 80/42, 25/46, 55/13, 32/124 quickly i.e. 8800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/42, 25/46, 55/13, 32/124 is 8800.

LCM(80/42, 25/46, 55/13, 32/124) = 8800

LCM of 80/42, 25/46, 55/13, 32/124

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 80/42,25/46,55/13,32/124

Given numbers are 80/42,25/46,55/13,32/124

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 80,25,55,32

Least Common Multiple of Numerators i.e. LCM of 80,25,55,32 is 8800.

GCF of Denominators means GCF of 42,46,13,124 as per the given fractions.

GCF of 42,46,13,124 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,25,55,32

LCM of Fractions 80/42,25/46,55/13,32/124 is 8800

2 80, 25, 55, 32
2 40, 25, 55, 16
2 20, 25, 55, 8
2 10, 25, 55, 4
5 5, 25, 55, 2
1, 5, 11, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 1 x 5 x 11 x 2 = 8800

Least Common Multiple of 80,25,55,32 with GCF Formula

Least Common Multiple of 80,25,55,32 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 80,25,55,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,25,55,32) = 1

common factors(in case of two or more numbers have common factors) = 400

GCF(80,25,55,32) x common factors =1 x 400 = 400

LCM(80,25,55,32) = ( 80 × 25 × 55 × 32 ) / 400

LCM(80,25,55,32) = 3520000 / 400

LCM(80,25,55,32) = 8800


Lets's calculate GCF of 42,46,13,124

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8800/1

Therefore the LCM of Fractions 80/42,25/46,55/13,32/124 is 8800

Greatest Common Factor of 42,46,13,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,46,13,124 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 46

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

1,2,23,46

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 42,46,13,124 . The biggest common factor number is the GCF number.
So the greatest common factor 42,46,13,124 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 80/42, 25/46, 55/13, 32/124

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 80/42, 25/46, 55/13, 32/124?

Answer: LCM of Numerators as per given numbers 80/42, 25/46, 55/13, 32/124 is

LCM of Numerators i.e. for 80,25,55,32 is 8800

GCF of denominators i.e. for 42,46,13,124 is 1.

Thus, LCM of Fractions is 8800.Finally, LCM of Fractions for 80/42, 25/46, 55/13, 32/124 is 8800.