Least Common Multiple of 845/258, 403/877, 293/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 845/258, 403/877, 293/426 quickly i.e. 7675135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 845/258, 403/877, 293/426 is 7675135.

LCM(845/258, 403/877, 293/426) = 7675135

LCM of 845/258, 403/877, 293/426

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 845/258,403/877,293/426

Given numbers are 845/258,403/877,293/426

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 845,403,293

Least Common Multiple of Numerators i.e. LCM of 845,403,293 is 7675135.

GCF of Denominators means GCF of 258,877,426 as per the given fractions.

GCF of 258,877,426 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 845,403,293

LCM of Fractions 845/258,403/877,293/426 is 7675135

13 845, 403, 293
65, 31, 293

∴ So the LCM of the given numbers is 13 x 65 x 31 x 293 = 7675135

Least Common Multiple of 845,403,293 with GCF Formula

Least Common Multiple of 845,403,293 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 845,403,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(845,403,293) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(845,403,293) x common factors =1 x 13 = 13

LCM(845,403,293) = ( 845 × 403 × 293 ) / 13

LCM(845,403,293) = 99776755 / 13

LCM(845,403,293) = 7675135


Lets's calculate GCF of 258,877,426

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7675135/1

Therefore the LCM of Fractions 845/258,403/877,293/426 is 7675135

Greatest Common Factor of 258,877,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,877,426 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 258,877,426 . The biggest common factor number is the GCF number.
So the greatest common factor 258,877,426 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 845/258, 403/877, 293/426

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 845/258, 403/877, 293/426?

Answer: LCM of Numerators as per given numbers 845/258, 403/877, 293/426 is

LCM of Numerators i.e. for 845,403,293 is 7675135

GCF of denominators i.e. for 258,877,426 is 1.

Thus, LCM of Fractions is 7675135.Finally, LCM of Fractions for 845/258, 403/877, 293/426 is 7675135.