Least Common Multiple of 44/364, 674/410, 242/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/364, 674/410, 242/124 quickly i.e. 81554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/364, 674/410, 242/124 is 81554.

LCM(44/364, 674/410, 242/124) = 81554

LCM of 44/364, 674/410, 242/124

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 44/364,674/410,242/124

Given numbers are 44/364,674/410,242/124

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 44,674,242

Least Common Multiple of Numerators i.e. LCM of 44,674,242 is 163108.

GCF of Denominators means GCF of 364,410,124 as per the given fractions.

GCF of 364,410,124 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,674,242

LCM of Fractions 44/364,674/410,242/124 is 81554

2 44, 674, 242
11 22, 337, 121
2, 337, 11

∴ So the LCM of the given numbers is 2 x 11 x 2 x 337 x 11 = 163108

Least Common Multiple of 44,674,242 with GCF Formula

Least Common Multiple of 44,674,242 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 44,674,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,674,242) = 2

common factors(in case of two or more numbers have common factors) = 22

GCF(44,674,242) x common factors =2 x 22 = 44

LCM(44,674,242) = ( 44 × 674 × 242 ) / 44

LCM(44,674,242) = 7176752 / 44

LCM(44,674,242) = 163108


Lets's calculate GCF of 364,410,124

2 364, 410, 124
182, 205, 62

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163108/2

Therefore the LCM of Fractions 44/364,674/410,242/124 is 81554

Greatest Common Factor of 364,410,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,410,124 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 364,410,124 . The biggest common factor number is the GCF number.
So the greatest common factor 364,410,124 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 44/364, 674/410, 242/124

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 44/364, 674/410, 242/124?

Answer: LCM of Numerators as per given numbers 44/364, 674/410, 242/124 is

LCM of Numerators i.e. for 44,674,242 is 163108

GCF of denominators i.e. for 364,410,124 is 2.

Thus, LCM of Fractions is 81554.Finally, LCM of Fractions for 44/364, 674/410, 242/124 is 81554.