Least Common Multiple of 780/270, 475/600, 587/937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 780/270, 475/600, 587/937 quickly i.e. 43496700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 780/270, 475/600, 587/937 is 43496700.

LCM(780/270, 475/600, 587/937) = 43496700

LCM of 780/270, 475/600, 587/937

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 780/270,475/600,587/937

Given numbers are 780/270,475/600,587/937

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 780,475,587

Least Common Multiple of Numerators i.e. LCM of 780,475,587 is 43496700.

GCF of Denominators means GCF of 270,600,937 as per the given fractions.

GCF of 270,600,937 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 780,475,587

LCM of Fractions 780/270,475/600,587/937 is 43496700

5 780, 475, 587
156, 95, 587

∴ So the LCM of the given numbers is 5 x 156 x 95 x 587 = 43496700

Least Common Multiple of 780,475,587 with GCF Formula

Least Common Multiple of 780,475,587 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 780,475,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,475,587) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(780,475,587) x common factors =1 x 5 = 5

LCM(780,475,587) = ( 780 × 475 × 587 ) / 5

LCM(780,475,587) = 217483500 / 5

LCM(780,475,587) = 43496700


Lets's calculate GCF of 270,600,937

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43496700/1

Therefore the LCM of Fractions 780/270,475/600,587/937 is 43496700

Greatest Common Factor of 270,600,937 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,600,937 By Matching Biggest Common Factor Method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Greatest Common Factor

We found the factors 270,600,937 . The biggest common factor number is the GCF number.
So the greatest common factor 270,600,937 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 780/270, 475/600, 587/937

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 780/270, 475/600, 587/937?

Answer: LCM of Numerators as per given numbers 780/270, 475/600, 587/937 is

LCM of Numerators i.e. for 780,475,587 is 43496700

GCF of denominators i.e. for 270,600,937 is 1.

Thus, LCM of Fractions is 43496700.Finally, LCM of Fractions for 780/270, 475/600, 587/937 is 43496700.