Least Common Multiple of 50/76, 143/18, 341/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/76, 143/18, 341/402 quickly i.e. 110825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/76, 143/18, 341/402 is 110825.

LCM(50/76, 143/18, 341/402) = 110825

LCM of 50/76, 143/18, 341/402

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 50/76,143/18,341/402

Given numbers are 50/76,143/18,341/402

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 50,143,341

Least Common Multiple of Numerators i.e. LCM of 50,143,341 is 221650.

GCF of Denominators means GCF of 76,18,402 as per the given fractions.

GCF of 76,18,402 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,143,341

LCM of Fractions 50/76,143/18,341/402 is 110825

11 50, 143, 341
50, 13, 31

∴ So the LCM of the given numbers is 11 x 50 x 13 x 31 = 221650

Least Common Multiple of 50,143,341 with GCF Formula

Least Common Multiple of 50,143,341 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 50,143,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,143,341) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(50,143,341) x common factors =1 x 11 = 11

LCM(50,143,341) = ( 50 × 143 × 341 ) / 11

LCM(50,143,341) = 2438150 / 11

LCM(50,143,341) = 221650


Lets's calculate GCF of 76,18,402

2 76, 18, 402
38, 9, 201

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221650/2

Therefore the LCM of Fractions 50/76,143/18,341/402 is 110825

Greatest Common Factor of 76,18,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,18,402 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 76,18,402 . The biggest common factor number is the GCF number.
So the greatest common factor 76,18,402 is 2.


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 50/76, 143/18, 341/402

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 50/76, 143/18, 341/402?

Answer: LCM of Numerators as per given numbers 50/76, 143/18, 341/402 is

LCM of Numerators i.e. for 50,143,341 is 221650

GCF of denominators i.e. for 76,18,402 is 2.

Thus, LCM of Fractions is 110825.Finally, LCM of Fractions for 50/76, 143/18, 341/402 is 110825.