Least Common Multiple of 45/36, 50/49, 18/44, 56/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/36, 50/49, 18/44, 56/298 quickly i.e. 12600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/36, 50/49, 18/44, 56/298 is 12600.

LCM(45/36, 50/49, 18/44, 56/298) = 12600

LCM of 45/36, 50/49, 18/44, 56/298

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 45/36,50/49,18/44,56/298

Given numbers are 45/36,50/49,18/44,56/298

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 45,50,18,56

Least Common Multiple of Numerators i.e. LCM of 45,50,18,56 is 12600.

GCF of Denominators means GCF of 36,49,44,298 as per the given fractions.

GCF of 36,49,44,298 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,50,18,56

LCM of Fractions 45/36,50/49,18/44,56/298 is 12600

2 45, 50, 18, 56
3 45, 25, 9, 28
3 15, 25, 3, 28
5 5, 25, 1, 28
1, 5, 1, 28

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 5 x 1 x 28 = 12600

Least Common Multiple of 45,50,18,56 with GCF Formula

Least Common Multiple of 45,50,18,56 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 45,50,18,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,50,18,56) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(45,50,18,56) x common factors =1 x 180 = 180

LCM(45,50,18,56) = ( 45 × 50 × 18 × 56 ) / 180

LCM(45,50,18,56) = 2268000 / 180

LCM(45,50,18,56) = 12600


Lets's calculate GCF of 36,49,44,298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12600/1

Therefore the LCM of Fractions 45/36,50/49,18/44,56/298 is 12600

Greatest Common Factor of 36,49,44,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,49,44,298 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 36,49,44,298 . The biggest common factor number is the GCF number.
So the greatest common factor 36,49,44,298 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 45/36, 50/49, 18/44, 56/298

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 45/36, 50/49, 18/44, 56/298?

Answer: LCM of Numerators as per given numbers 45/36, 50/49, 18/44, 56/298 is

LCM of Numerators i.e. for 45,50,18,56 is 12600

GCF of denominators i.e. for 36,49,44,298 is 1.

Thus, LCM of Fractions is 12600.Finally, LCM of Fractions for 45/36, 50/49, 18/44, 56/298 is 12600.