Least Common Multiple of 76/630, 20/540, 889/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/630, 20/540, 889/501 quickly i.e. 337820/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/630, 20/540, 889/501 is 337820/3.

LCM(76/630, 20/540, 889/501) = 337820/3

LCM of 76/630, 20/540, 889/501

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 76/630,20/540,889/501

Given numbers are 76/630,20/540,889/501

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 76,20,889

Least Common Multiple of Numerators i.e. LCM of 76,20,889 is 337820.

GCF of Denominators means GCF of 630,540,501 as per the given fractions.

GCF of 630,540,501 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,20,889

LCM of Fractions 76/630,20/540,889/501 is 337820/3

2 76, 20, 889
2 38, 10, 889
19, 5, 889

∴ So the LCM of the given numbers is 2 x 2 x 19 x 5 x 889 = 337820

Least Common Multiple of 76,20,889 with GCF Formula

Least Common Multiple of 76,20,889 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 76,20,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,20,889) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,20,889) x common factors =1 x 4 = 4

LCM(76,20,889) = ( 76 × 20 × 889 ) / 4

LCM(76,20,889) = 1351280 / 4

LCM(76,20,889) = 337820


Lets's calculate GCF of 630,540,501

3 630, 540, 501
210, 180, 167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 337820/3

Therefore the LCM of Fractions 76/630,20/540,889/501 is 337820/3

Greatest Common Factor of 630,540,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,540,501 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 630,540,501 . The biggest common factor number is the GCF number.
So the greatest common factor 630,540,501 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 76/630, 20/540, 889/501

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 76/630, 20/540, 889/501?

Answer: LCM of Numerators as per given numbers 76/630, 20/540, 889/501 is

LCM of Numerators i.e. for 76,20,889 is 337820

GCF of denominators i.e. for 630,540,501 is 3.

Thus, LCM of Fractions is 337820/3.Finally, LCM of Fractions for 76/630, 20/540, 889/501 is 337820/3.