Least Common Multiple of 44/274, 463/636, 389/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/274, 463/636, 389/874 quickly i.e. 3962354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/274, 463/636, 389/874 is 3962354.

LCM(44/274, 463/636, 389/874) = 3962354

LCM of 44/274, 463/636, 389/874

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 44/274,463/636,389/874

Given numbers are 44/274,463/636,389/874

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 44,463,389

Least Common Multiple of Numerators i.e. LCM of 44,463,389 is 7924708.

GCF of Denominators means GCF of 274,636,874 as per the given fractions.

GCF of 274,636,874 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,463,389

LCM of Fractions 44/274,463/636,389/874 is 3962354

Given numbers has no common factors except 1. So, there LCM is their product i.e 7924708

Least Common Multiple of 44,463,389 with GCF Formula

Least Common Multiple of 44,463,389 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 44,463,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,463,389) = 1

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

GCF(44,463,389) x common factors =1 x 1 = 1

LCM(44,463,389) = ( 44 × 463 × 389 ) / 1

LCM(44,463,389) = 7924708 / 1

LCM(44,463,389) = 7924708


Lets's calculate GCF of 274,636,874

2 274, 636, 874
137, 318, 437

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7924708/2

Therefore the LCM of Fractions 44/274,463/636,389/874 is 3962354

Greatest Common Factor of 274,636,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,636,874 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 274,636,874 . The biggest common factor number is the GCF number.
So the greatest common factor 274,636,874 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 44/274, 463/636, 389/874

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 44/274, 463/636, 389/874?

Answer: LCM of Numerators as per given numbers 44/274, 463/636, 389/874 is

LCM of Numerators i.e. for 44,463,389 is 7924708

GCF of denominators i.e. for 274,636,874 is 2.

Thus, LCM of Fractions is 3962354.Finally, LCM of Fractions for 44/274, 463/636, 389/874 is 3962354.