Least Common Multiple of 80/780, 550/723, 125/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/780, 550/723, 125/150 quickly i.e. 22000/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/780, 550/723, 125/150 is 22000/3.

LCM(80/780, 550/723, 125/150) = 22000/3

LCM of 80/780, 550/723, 125/150

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 80/780,550/723,125/150

Given numbers are 80/780,550/723,125/150

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 80,550,125

Least Common Multiple of Numerators i.e. LCM of 80,550,125 is 22000.

GCF of Denominators means GCF of 780,723,150 as per the given fractions.

GCF of 780,723,150 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,550,125

LCM of Fractions 80/780,550/723,125/150 is 22000/3

2 80, 550, 125
5 40, 275, 125
5 8, 55, 25
8, 11, 5

∴ So the LCM of the given numbers is 2 x 5 x 5 x 8 x 11 x 5 = 22000

Least Common Multiple of 80,550,125 with GCF Formula

Least Common Multiple of 80,550,125 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 80,550,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,550,125) = 5

common factors(in case of two or more numbers have common factors) = 50

GCF(80,550,125) x common factors =5 x 50 = 250

LCM(80,550,125) = ( 80 × 550 × 125 ) / 250

LCM(80,550,125) = 5500000 / 250

LCM(80,550,125) = 22000


Lets's calculate GCF of 780,723,150

3 780, 723, 150
260, 241, 50

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22000/3

Therefore the LCM of Fractions 80/780,550/723,125/150 is 22000/3

Greatest Common Factor of 780,723,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,723,150 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

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

Greatest Common Factor

We found the factors 780,723,150 . The biggest common factor number is the GCF number.
So the greatest common factor 780,723,150 is 3.


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 80/780, 550/723, 125/150

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 80/780, 550/723, 125/150?

Answer: LCM of Numerators as per given numbers 80/780, 550/723, 125/150 is

LCM of Numerators i.e. for 80,550,125 is 22000

GCF of denominators i.e. for 780,723,150 is 3.

Thus, LCM of Fractions is 22000/3.Finally, LCM of Fractions for 80/780, 550/723, 125/150 is 22000/3.