Least Common Multiple of 253/240, 913/858, 679/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 253/240, 913/858, 679/267 quickly i.e. 14258321/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 253/240, 913/858, 679/267 is 14258321/3.

LCM(253/240, 913/858, 679/267) = 14258321/3

LCM of 253/240, 913/858, 679/267

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 253/240,913/858,679/267

Given numbers are 253/240,913/858,679/267

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 253,913,679

Least Common Multiple of Numerators i.e. LCM of 253,913,679 is 14258321.

GCF of Denominators means GCF of 240,858,267 as per the given fractions.

GCF of 240,858,267 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 253,913,679

LCM of Fractions 253/240,913/858,679/267 is 14258321/3

11 253, 913, 679
23, 83, 679

∴ So the LCM of the given numbers is 11 x 23 x 83 x 679 = 14258321

Least Common Multiple of 253,913,679 with GCF Formula

Least Common Multiple of 253,913,679 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 253,913,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,913,679) = 1

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

GCF(253,913,679) x common factors =1 x 11 = 11

LCM(253,913,679) = ( 253 × 913 × 679 ) / 11

LCM(253,913,679) = 156841531 / 11

LCM(253,913,679) = 14258321


Lets's calculate GCF of 240,858,267

3 240, 858, 267
80, 286, 89

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14258321/3

Therefore the LCM of Fractions 253/240,913/858,679/267 is 14258321/3

Greatest Common Factor of 240,858,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,858,267 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 240,858,267 . The biggest common factor number is the GCF number.
So the greatest common factor 240,858,267 is 3.


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 253/240, 913/858, 679/267

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 253/240, 913/858, 679/267?

Answer: LCM of Numerators as per given numbers 253/240, 913/858, 679/267 is

LCM of Numerators i.e. for 253,913,679 is 14258321

GCF of denominators i.e. for 240,858,267 is 3.

Thus, LCM of Fractions is 14258321/3.Finally, LCM of Fractions for 253/240, 913/858, 679/267 is 14258321/3.