Least Common Multiple of 50/53, 15/95, 26/41, 24/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 50/53, 15/95, 26/41, 24/357 quickly i.e. 7800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/53, 15/95, 26/41, 24/357 is 7800.

LCM(50/53, 15/95, 26/41, 24/357) = 7800

LCM of 50/53, 15/95, 26/41, 24/357

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 50/53,15/95,26/41,24/357

Given numbers are 50/53,15/95,26/41,24/357

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 50,15,26,24

Least Common Multiple of Numerators i.e. LCM of 50,15,26,24 is 7800.

GCF of Denominators means GCF of 53,95,41,357 as per the given fractions.

GCF of 53,95,41,357 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,15,26,24

LCM of Fractions 50/53,15/95,26/41,24/357 is 7800

2 50, 15, 26, 24
3 25, 15, 13, 12
5 25, 5, 13, 4
1, 5, 13, 4

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 5 x 13 x 4 = 7800

Least Common Multiple of 50,15,26,24 with GCF Formula

Least Common Multiple of 50,15,26,24 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 50,15,26,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,15,26,24) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(50,15,26,24) x common factors =1 x 60 = 60

LCM(50,15,26,24) = ( 50 × 15 × 26 × 24 ) / 60

LCM(50,15,26,24) = 468000 / 60

LCM(50,15,26,24) = 7800


Lets's calculate GCF of 53,95,41,357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7800/1

Therefore the LCM of Fractions 50/53,15/95,26/41,24/357 is 7800

Greatest Common Factor of 53,95,41,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,95,41,357 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 53,95,41,357 . The biggest common factor number is the GCF number.
So the greatest common factor 53,95,41,357 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 50/53, 15/95, 26/41, 24/357

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 50/53, 15/95, 26/41, 24/357?

Answer: LCM of Numerators as per given numbers 50/53, 15/95, 26/41, 24/357 is

LCM of Numerators i.e. for 50,15,26,24 is 7800

GCF of denominators i.e. for 53,95,41,357 is 1.

Thus, LCM of Fractions is 7800.Finally, LCM of Fractions for 50/53, 15/95, 26/41, 24/357 is 7800.