Least Common Multiple of 507/71, 642/3692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 507/71, 642/3692 quickly i.e. 108498/71 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/71, 642/3692 is 108498/71.

LCM(507/71, 642/3692) = 108498/71

LCM of 507/71, 642/3692

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 507/71,642/3692

Given numbers are 507/71,642/3692

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 507,642

Least Common Multiple of Numerators i.e. LCM of 507,642 is 108498.

GCF of Denominators means GCF of 71,3692 as per the given fractions.

GCF of 71,3692 is 71 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,642

LCM of Fractions 507/71,642/3692 is 108498/71

3 507, 642
169, 214

∴ So the LCM of the given numbers is 3 x 169 x 214 = 108498

Least Common Multiple of 507,642 with GCF Formula

Least Common Multiple of 507,642 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 507,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,642) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(507,642) x common factors =3 x 1 = 3

LCM(507,642) = ( 507 × 642 ) / 3

LCM(507,642) = 325494 / 3

LCM(507,642) = 108498


Lets's calculate GCF of 71,3692

71 71, 3692
1, 52

∴ So the GCF of the given numbers is 71 = 71

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108498/71

Therefore the LCM of Fractions 507/71,642/3692 is 108498/71

Greatest Common Factor of 71,3692 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,3692 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 3692

List of positive integer factors of 3692 that divides 3692 without a remainder.

1,2,4,13,26,52,71,142,284,923,1846,3692

Greatest Common Factor

We found the factors 71,3692 . The biggest common factor number is the GCF number.
So the greatest common factor 71,3692 is 71.


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 507/71, 642/3692

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 507/71, 642/3692?

Answer: LCM of Numerators as per given numbers 507/71, 642/3692 is

LCM of Numerators i.e. for 507,642 is 108498

GCF of denominators i.e. for 71,3692 is 71.

Thus, LCM of Fractions is 108498/71.Finally, LCM of Fractions for 507/71, 642/3692 is 108498/71.