Least Common Multiple of 41/59, 63/54, 42/35, 50/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/59, 63/54, 42/35, 50/152 quickly i.e. 129150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/59, 63/54, 42/35, 50/152 is 129150.

LCM(41/59, 63/54, 42/35, 50/152) = 129150

LCM of 41/59, 63/54, 42/35, 50/152

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 41/59,63/54,42/35,50/152

Given numbers are 41/59,63/54,42/35,50/152

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 41,63,42,50

Least Common Multiple of Numerators i.e. LCM of 41,63,42,50 is 129150.

GCF of Denominators means GCF of 59,54,35,152 as per the given fractions.

GCF of 59,54,35,152 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,63,42,50

LCM of Fractions 41/59,63/54,42/35,50/152 is 129150

2 41, 63, 42, 50
3 41, 63, 21, 25
7 41, 7, 21, 25
41, 1, 3, 25

∴ So the LCM of the given numbers is 2 x 3 x 7 x 41 x 1 x 3 x 25 = 129150

Least Common Multiple of 41,63,42,50 with GCF Formula

Least Common Multiple of 41,63,42,50 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 41,63,42,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,63,42,50) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(41,63,42,50) x common factors =1 x 42 = 42

LCM(41,63,42,50) = ( 41 × 63 × 42 × 50 ) / 42

LCM(41,63,42,50) = 5424300 / 42

LCM(41,63,42,50) = 129150


Lets's calculate GCF of 59,54,35,152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129150/1

Therefore the LCM of Fractions 41/59,63/54,42/35,50/152 is 129150

Greatest Common Factor of 59,54,35,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,54,35,152 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 35

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

1,5,7,35

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 59,54,35,152 . The biggest common factor number is the GCF number.
So the greatest common factor 59,54,35,152 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 41/59, 63/54, 42/35, 50/152

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 41/59, 63/54, 42/35, 50/152?

Answer: LCM of Numerators as per given numbers 41/59, 63/54, 42/35, 50/152 is

LCM of Numerators i.e. for 41,63,42,50 is 129150

GCF of denominators i.e. for 59,54,35,152 is 1.

Thus, LCM of Fractions is 129150.Finally, LCM of Fractions for 41/59, 63/54, 42/35, 50/152 is 129150.