Least Common Multiple of 760/21, 507/1423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 760/21, 507/1423 quickly i.e. 385320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 760/21, 507/1423 is 385320.

LCM(760/21, 507/1423) = 385320

LCM of 760/21, 507/1423

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 760/21,507/1423

Given numbers are 760/21,507/1423

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 760,507

Least Common Multiple of Numerators i.e. LCM of 760,507 is 385320.

GCF of Denominators means GCF of 21,1423 as per the given fractions.

GCF of 21,1423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 760,507

LCM of Fractions 760/21,507/1423 is 385320

Given numbers has no common factors except 1. So, there LCM is their product i.e 385320

Least Common Multiple of 760,507 with GCF Formula

Least Common Multiple of 760,507 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 760,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,507) = 1

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

GCF(760,507) x common factors =1 x 1 = 1

LCM(760,507) = ( 760 × 507 ) / 1

LCM(760,507) = 385320 / 1

LCM(760,507) = 385320


Lets's calculate GCF of 21,1423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 385320/1

Therefore the LCM of Fractions 760/21,507/1423 is 385320

Greatest Common Factor of 21,1423 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,1423 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 1423

List of positive integer factors of 1423 that divides 1423 without a remainder.

1,1423

Greatest Common Factor

We found the factors 21,1423 . The biggest common factor number is the GCF number.
So the greatest common factor 21,1423 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 760/21, 507/1423

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 760/21, 507/1423?

Answer: LCM of Numerators as per given numbers 760/21, 507/1423 is

LCM of Numerators i.e. for 760,507 is 385320

GCF of denominators i.e. for 21,1423 is 1.

Thus, LCM of Fractions is 385320.Finally, LCM of Fractions for 760/21, 507/1423 is 385320.