Least Common Multiple of 251/438, 395/812, 878/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 251/438, 395/812, 878/926 quickly i.e. 43524655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 251/438, 395/812, 878/926 is 43524655.

LCM(251/438, 395/812, 878/926) = 43524655

LCM of 251/438, 395/812, 878/926

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 251/438,395/812,878/926

Given numbers are 251/438,395/812,878/926

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 251,395,878

Least Common Multiple of Numerators i.e. LCM of 251,395,878 is 87049310.

GCF of Denominators means GCF of 438,812,926 as per the given fractions.

GCF of 438,812,926 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 251,395,878

LCM of Fractions 251/438,395/812,878/926 is 43524655

Given numbers has no common factors except 1. So, there LCM is their product i.e 87049310

Least Common Multiple of 251,395,878 with GCF Formula

Least Common Multiple of 251,395,878 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 251,395,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,395,878) = 1

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

GCF(251,395,878) x common factors =1 x 1 = 1

LCM(251,395,878) = ( 251 × 395 × 878 ) / 1

LCM(251,395,878) = 87049310 / 1

LCM(251,395,878) = 87049310


Lets's calculate GCF of 438,812,926

2 438, 812, 926
219, 406, 463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87049310/2

Therefore the LCM of Fractions 251/438,395/812,878/926 is 43524655

Greatest Common Factor of 438,812,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,812,926 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 438,812,926 . The biggest common factor number is the GCF number.
So the greatest common factor 438,812,926 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 251/438, 395/812, 878/926

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 251/438, 395/812, 878/926?

Answer: LCM of Numerators as per given numbers 251/438, 395/812, 878/926 is

LCM of Numerators i.e. for 251,395,878 is 87049310

GCF of denominators i.e. for 438,812,926 is 2.

Thus, LCM of Fractions is 43524655.Finally, LCM of Fractions for 251/438, 395/812, 878/926 is 43524655.