Least Common Multiple of 39/536, 723/669, 220/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/536, 723/669, 220/119 quickly i.e. 2067780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/536, 723/669, 220/119 is 2067780.

LCM(39/536, 723/669, 220/119) = 2067780

LCM of 39/536, 723/669, 220/119

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 39/536,723/669,220/119

Given numbers are 39/536,723/669,220/119

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 39,723,220

Least Common Multiple of Numerators i.e. LCM of 39,723,220 is 2067780.

GCF of Denominators means GCF of 536,669,119 as per the given fractions.

GCF of 536,669,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,723,220

LCM of Fractions 39/536,723/669,220/119 is 2067780

3 39, 723, 220
13, 241, 220

∴ So the LCM of the given numbers is 3 x 13 x 241 x 220 = 2067780

Least Common Multiple of 39,723,220 with GCF Formula

Least Common Multiple of 39,723,220 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 39,723,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,723,220) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,723,220) x common factors =1 x 3 = 3

LCM(39,723,220) = ( 39 × 723 × 220 ) / 3

LCM(39,723,220) = 6203340 / 3

LCM(39,723,220) = 2067780


Lets's calculate GCF of 536,669,119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2067780/1

Therefore the LCM of Fractions 39/536,723/669,220/119 is 2067780

Greatest Common Factor of 536,669,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,669,119 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 536,669,119 . The biggest common factor number is the GCF number.
So the greatest common factor 536,669,119 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 39/536, 723/669, 220/119

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 39/536, 723/669, 220/119?

Answer: LCM of Numerators as per given numbers 39/536, 723/669, 220/119 is

LCM of Numerators i.e. for 39,723,220 is 2067780

GCF of denominators i.e. for 536,669,119 is 1.

Thus, LCM of Fractions is 2067780.Finally, LCM of Fractions for 39/536, 723/669, 220/119 is 2067780.