Least Common Multiple of 50/142, 699/608, 242/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/142, 699/608, 242/206 quickly i.e. 2114475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/142, 699/608, 242/206 is 2114475.

LCM(50/142, 699/608, 242/206) = 2114475

LCM of 50/142, 699/608, 242/206

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 50/142,699/608,242/206

Given numbers are 50/142,699/608,242/206

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 50,699,242

Least Common Multiple of Numerators i.e. LCM of 50,699,242 is 4228950.

GCF of Denominators means GCF of 142,608,206 as per the given fractions.

GCF of 142,608,206 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,699,242

LCM of Fractions 50/142,699/608,242/206 is 2114475

2 50, 699, 242
25, 699, 121

∴ So the LCM of the given numbers is 2 x 25 x 699 x 121 = 4228950

Least Common Multiple of 50,699,242 with GCF Formula

Least Common Multiple of 50,699,242 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 50,699,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,699,242) = 1

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

GCF(50,699,242) x common factors =1 x 2 = 2

LCM(50,699,242) = ( 50 × 699 × 242 ) / 2

LCM(50,699,242) = 8457900 / 2

LCM(50,699,242) = 4228950


Lets's calculate GCF of 142,608,206

2 142, 608, 206
71, 304, 103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4228950/2

Therefore the LCM of Fractions 50/142,699/608,242/206 is 2114475

Greatest Common Factor of 142,608,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,608,206 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 142,608,206 . The biggest common factor number is the GCF number.
So the greatest common factor 142,608,206 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 50/142, 699/608, 242/206

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 50/142, 699/608, 242/206?

Answer: LCM of Numerators as per given numbers 50/142, 699/608, 242/206 is

LCM of Numerators i.e. for 50,699,242 is 4228950

GCF of denominators i.e. for 142,608,206 is 2.

Thus, LCM of Fractions is 2114475.Finally, LCM of Fractions for 50/142, 699/608, 242/206 is 2114475.