Least Common Multiple of 29/309, 20/242, 262/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/309, 20/242, 262/953 quickly i.e. 75980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/309, 20/242, 262/953 is 75980.

LCM(29/309, 20/242, 262/953) = 75980

LCM of 29/309, 20/242, 262/953

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 29/309,20/242,262/953

Given numbers are 29/309,20/242,262/953

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 29,20,262

Least Common Multiple of Numerators i.e. LCM of 29,20,262 is 75980.

GCF of Denominators means GCF of 309,242,953 as per the given fractions.

GCF of 309,242,953 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,20,262

LCM of Fractions 29/309,20/242,262/953 is 75980

2 29, 20, 262
29, 10, 131

∴ So the LCM of the given numbers is 2 x 29 x 10 x 131 = 75980

Least Common Multiple of 29,20,262 with GCF Formula

Least Common Multiple of 29,20,262 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 29,20,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,20,262) = 1

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

GCF(29,20,262) x common factors =1 x 2 = 2

LCM(29,20,262) = ( 29 × 20 × 262 ) / 2

LCM(29,20,262) = 151960 / 2

LCM(29,20,262) = 75980


Lets's calculate GCF of 309,242,953

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75980/1

Therefore the LCM of Fractions 29/309,20/242,262/953 is 75980

Greatest Common Factor of 309,242,953 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,242,953 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Greatest Common Factor

We found the factors 309,242,953 . The biggest common factor number is the GCF number.
So the greatest common factor 309,242,953 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 29/309, 20/242, 262/953

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 29/309, 20/242, 262/953?

Answer: LCM of Numerators as per given numbers 29/309, 20/242, 262/953 is

LCM of Numerators i.e. for 29,20,262 is 75980

GCF of denominators i.e. for 309,242,953 is 1.

Thus, LCM of Fractions is 75980.Finally, LCM of Fractions for 29/309, 20/242, 262/953 is 75980.