Least Common Multiple of 685/65, 502/47, 456/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 685/65, 502/47, 456/747 quickly i.e. 78402360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 685/65, 502/47, 456/747 is 78402360.

LCM(685/65, 502/47, 456/747) = 78402360

LCM of 685/65, 502/47, 456/747

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 685/65,502/47,456/747

Given numbers are 685/65,502/47,456/747

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 685,502,456

Least Common Multiple of Numerators i.e. LCM of 685,502,456 is 78402360.

GCF of Denominators means GCF of 65,47,747 as per the given fractions.

GCF of 65,47,747 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 685,502,456

LCM of Fractions 685/65,502/47,456/747 is 78402360

2 685, 502, 456
685, 251, 228

∴ So the LCM of the given numbers is 2 x 685 x 251 x 228 = 78402360

Least Common Multiple of 685,502,456 with GCF Formula

Least Common Multiple of 685,502,456 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 685,502,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,502,456) = 1

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

GCF(685,502,456) x common factors =1 x 2 = 2

LCM(685,502,456) = ( 685 × 502 × 456 ) / 2

LCM(685,502,456) = 156804720 / 2

LCM(685,502,456) = 78402360


Lets's calculate GCF of 65,47,747

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78402360/1

Therefore the LCM of Fractions 685/65,502/47,456/747 is 78402360

Greatest Common Factor of 65,47,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,47,747 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 65,47,747 . The biggest common factor number is the GCF number.
So the greatest common factor 65,47,747 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 685/65, 502/47, 456/747

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 685/65, 502/47, 456/747?

Answer: LCM of Numerators as per given numbers 685/65, 502/47, 456/747 is

LCM of Numerators i.e. for 685,502,456 is 78402360

GCF of denominators i.e. for 65,47,747 is 1.

Thus, LCM of Fractions is 78402360.Finally, LCM of Fractions for 685/65, 502/47, 456/747 is 78402360.