Least Common Multiple of 258/10, 356/78, 121/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 258/10, 356/78, 121/756 quickly i.e. 2778402 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 258/10, 356/78, 121/756 is 2778402.

LCM(258/10, 356/78, 121/756) = 2778402

LCM of 258/10, 356/78, 121/756

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 258/10,356/78,121/756

Given numbers are 258/10,356/78,121/756

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 258,356,121

Least Common Multiple of Numerators i.e. LCM of 258,356,121 is 5556804.

GCF of Denominators means GCF of 10,78,756 as per the given fractions.

GCF of 10,78,756 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 258,356,121

LCM of Fractions 258/10,356/78,121/756 is 2778402

2 258, 356, 121
129, 178, 121

∴ So the LCM of the given numbers is 2 x 129 x 178 x 121 = 5556804

Least Common Multiple of 258,356,121 with GCF Formula

Least Common Multiple of 258,356,121 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 258,356,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,356,121) = 1

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

GCF(258,356,121) x common factors =1 x 2 = 2

LCM(258,356,121) = ( 258 × 356 × 121 ) / 2

LCM(258,356,121) = 11113608 / 2

LCM(258,356,121) = 5556804


Lets's calculate GCF of 10,78,756

2 10, 78, 756
5, 39, 378

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5556804/2

Therefore the LCM of Fractions 258/10,356/78,121/756 is 2778402

Greatest Common Factor of 10,78,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,78,756 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 10,78,756 . The biggest common factor number is the GCF number.
So the greatest common factor 10,78,756 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 258/10, 356/78, 121/756

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 258/10, 356/78, 121/756?

Answer: LCM of Numerators as per given numbers 258/10, 356/78, 121/756 is

LCM of Numerators i.e. for 258,356,121 is 5556804

GCF of denominators i.e. for 10,78,756 is 2.

Thus, LCM of Fractions is 2778402.Finally, LCM of Fractions for 258/10, 356/78, 121/756 is 2778402.