Least Common Multiple of 50/71, 78/172, 757/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/71, 78/172, 757/106 quickly i.e. 1476150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/71, 78/172, 757/106 is 1476150.

LCM(50/71, 78/172, 757/106) = 1476150

LCM of 50/71, 78/172, 757/106

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 50/71,78/172,757/106

Given numbers are 50/71,78/172,757/106

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 50,78,757

Least Common Multiple of Numerators i.e. LCM of 50,78,757 is 1476150.

GCF of Denominators means GCF of 71,172,106 as per the given fractions.

GCF of 71,172,106 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,78,757

LCM of Fractions 50/71,78/172,757/106 is 1476150

2 50, 78, 757
25, 39, 757

∴ So the LCM of the given numbers is 2 x 25 x 39 x 757 = 1476150

Least Common Multiple of 50,78,757 with GCF Formula

Least Common Multiple of 50,78,757 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 50,78,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,78,757) = 1

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

GCF(50,78,757) x common factors =1 x 2 = 2

LCM(50,78,757) = ( 50 × 78 × 757 ) / 2

LCM(50,78,757) = 2952300 / 2

LCM(50,78,757) = 1476150


Lets's calculate GCF of 71,172,106

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1476150/1

Therefore the LCM of Fractions 50/71,78/172,757/106 is 1476150

Greatest Common Factor of 71,172,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,172,106 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 71,172,106 . The biggest common factor number is the GCF number.
So the greatest common factor 71,172,106 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 50/71, 78/172, 757/106

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 50/71, 78/172, 757/106?

Answer: LCM of Numerators as per given numbers 50/71, 78/172, 757/106 is

LCM of Numerators i.e. for 50,78,757 is 1476150

GCF of denominators i.e. for 71,172,106 is 1.

Thus, LCM of Fractions is 1476150.Finally, LCM of Fractions for 50/71, 78/172, 757/106 is 1476150.