Least Common Multiple of 50/71, 25/157, 514/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/71, 25/157, 514/719 quickly i.e. 12850 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, 25/157, 514/719 is 12850.

LCM(50/71, 25/157, 514/719) = 12850

LCM of 50/71, 25/157, 514/719

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 50/71,25/157,514/719

Given numbers are 50/71,25/157,514/719

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 50,25,514

Least Common Multiple of Numerators i.e. LCM of 50,25,514 is 12850.

GCF of Denominators means GCF of 71,157,719 as per the given fractions.

GCF of 71,157,719 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,25,514

LCM of Fractions 50/71,25/157,514/719 is 12850

2 50, 25, 514
5 25, 25, 257
5 5, 5, 257
1, 1, 257

∴ So the LCM of the given numbers is 2 x 5 x 5 x 1 x 1 x 257 = 12850

Least Common Multiple of 50,25,514 with GCF Formula

Least Common Multiple of 50,25,514 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 50,25,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,25,514) = 1

common factors(in case of two or more numbers have common factors) = 50

GCF(50,25,514) x common factors =1 x 50 = 50

LCM(50,25,514) = ( 50 × 25 × 514 ) / 50

LCM(50,25,514) = 642500 / 50

LCM(50,25,514) = 12850


Lets's calculate GCF of 71,157,719

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12850/1

Therefore the LCM of Fractions 50/71,25/157,514/719 is 12850

Greatest Common Factor of 71,157,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,157,719 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 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Greatest Common Factor

We found the factors 71,157,719 . The biggest common factor number is the GCF number.
So the greatest common factor 71,157,719 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, 25/157, 514/719

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, 25/157, 514/719?

Answer: LCM of Numerators as per given numbers 50/71, 25/157, 514/719 is

LCM of Numerators i.e. for 50,25,514 is 12850

GCF of denominators i.e. for 71,157,719 is 1.

Thus, LCM of Fractions is 12850.Finally, LCM of Fractions for 50/71, 25/157, 514/719 is 12850.