Least Common Multiple of 135/269, 938/101, 358/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 135/269, 938/101, 358/486 quickly i.e. 22666770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/269, 938/101, 358/486 is 22666770.

LCM(135/269, 938/101, 358/486) = 22666770

LCM of 135/269, 938/101, 358/486

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 135/269,938/101,358/486

Given numbers are 135/269,938/101,358/486

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 135,938,358

Least Common Multiple of Numerators i.e. LCM of 135,938,358 is 22666770.

GCF of Denominators means GCF of 269,101,486 as per the given fractions.

GCF of 269,101,486 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,938,358

LCM of Fractions 135/269,938/101,358/486 is 22666770

2 135, 938, 358
135, 469, 179

∴ So the LCM of the given numbers is 2 x 135 x 469 x 179 = 22666770

Least Common Multiple of 135,938,358 with GCF Formula

Least Common Multiple of 135,938,358 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 135,938,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,938,358) = 1

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

GCF(135,938,358) x common factors =1 x 2 = 2

LCM(135,938,358) = ( 135 × 938 × 358 ) / 2

LCM(135,938,358) = 45333540 / 2

LCM(135,938,358) = 22666770


Lets's calculate GCF of 269,101,486

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22666770/1

Therefore the LCM of Fractions 135/269,938/101,358/486 is 22666770

Greatest Common Factor of 269,101,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,101,486 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 269,101,486 . The biggest common factor number is the GCF number.
So the greatest common factor 269,101,486 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 135/269, 938/101, 358/486

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 135/269, 938/101, 358/486?

Answer: LCM of Numerators as per given numbers 135/269, 938/101, 358/486 is

LCM of Numerators i.e. for 135,938,358 is 22666770

GCF of denominators i.e. for 269,101,486 is 1.

Thus, LCM of Fractions is 22666770.Finally, LCM of Fractions for 135/269, 938/101, 358/486 is 22666770.