Least Common Multiple of 251/918, 765/708, 458/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 251/918, 765/708, 458/442 quickly i.e. 43971435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 251/918, 765/708, 458/442 is 43971435.

LCM(251/918, 765/708, 458/442) = 43971435

LCM of 251/918, 765/708, 458/442

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 251/918,765/708,458/442

Given numbers are 251/918,765/708,458/442

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 251,765,458

Least Common Multiple of Numerators i.e. LCM of 251,765,458 is 87942870.

GCF of Denominators means GCF of 918,708,442 as per the given fractions.

GCF of 918,708,442 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 251,765,458

LCM of Fractions 251/918,765/708,458/442 is 43971435

Given numbers has no common factors except 1. So, there LCM is their product i.e 87942870

Least Common Multiple of 251,765,458 with GCF Formula

Least Common Multiple of 251,765,458 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 251,765,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,765,458) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(251,765,458) x common factors =1 x 1 = 1

LCM(251,765,458) = ( 251 × 765 × 458 ) / 1

LCM(251,765,458) = 87942870 / 1

LCM(251,765,458) = 87942870


Lets's calculate GCF of 918,708,442

2 918, 708, 442
459, 354, 221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87942870/2

Therefore the LCM of Fractions 251/918,765/708,458/442 is 43971435

Greatest Common Factor of 918,708,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,708,442 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 918,708,442 . The biggest common factor number is the GCF number.
So the greatest common factor 918,708,442 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 251/918, 765/708, 458/442

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 251/918, 765/708, 458/442?

Answer: LCM of Numerators as per given numbers 251/918, 765/708, 458/442 is

LCM of Numerators i.e. for 251,765,458 is 87942870

GCF of denominators i.e. for 918,708,442 is 2.

Thus, LCM of Fractions is 43971435.Finally, LCM of Fractions for 251/918, 765/708, 458/442 is 43971435.