Least Common Multiple of 44/150, 150/125, 878/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/150, 150/125, 878/597 quickly i.e. 1448700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/150, 150/125, 878/597 is 1448700.

LCM(44/150, 150/125, 878/597) = 1448700

LCM of 44/150, 150/125, 878/597

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 44/150,150/125,878/597

Given numbers are 44/150,150/125,878/597

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 44,150,878

Least Common Multiple of Numerators i.e. LCM of 44,150,878 is 1448700.

GCF of Denominators means GCF of 150,125,597 as per the given fractions.

GCF of 150,125,597 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,150,878

LCM of Fractions 44/150,150/125,878/597 is 1448700

2 44, 150, 878
22, 75, 439

∴ So the LCM of the given numbers is 2 x 22 x 75 x 439 = 1448700

Least Common Multiple of 44,150,878 with GCF Formula

Least Common Multiple of 44,150,878 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 44,150,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,150,878) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(44,150,878) x common factors =2 x 2 = 4

LCM(44,150,878) = ( 44 × 150 × 878 ) / 4

LCM(44,150,878) = 5794800 / 4

LCM(44,150,878) = 1448700


Lets's calculate GCF of 150,125,597

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1448700/1

Therefore the LCM of Fractions 44/150,150/125,878/597 is 1448700

Greatest Common Factor of 150,125,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,125,597 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 150,125,597 . The biggest common factor number is the GCF number.
So the greatest common factor 150,125,597 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 44/150, 150/125, 878/597

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 44/150, 150/125, 878/597?

Answer: LCM of Numerators as per given numbers 44/150, 150/125, 878/597 is

LCM of Numerators i.e. for 44,150,878 is 1448700

GCF of denominators i.e. for 150,125,597 is 1.

Thus, LCM of Fractions is 1448700.Finally, LCM of Fractions for 44/150, 150/125, 878/597 is 1448700.