Least Common Multiple of 760/821, 1567/7308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 760/821, 1567/7308 quickly i.e. 1190920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 760/821, 1567/7308 is 1190920.

LCM(760/821, 1567/7308) = 1190920

LCM of 760/821, 1567/7308

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 760/821,1567/7308

Given numbers are 760/821,1567/7308

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 760,1567

Least Common Multiple of Numerators i.e. LCM of 760,1567 is 1190920.

GCF of Denominators means GCF of 821,7308 as per the given fractions.

GCF of 821,7308 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 760,1567

LCM of Fractions 760/821,1567/7308 is 1190920

Given numbers has no common factors except 1. So, there LCM is their product i.e 1190920

Least Common Multiple of 760,1567 with GCF Formula

Least Common Multiple of 760,1567 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 760,1567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,1567) = 1

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

GCF(760,1567) x common factors =1 x 1 = 1

LCM(760,1567) = ( 760 × 1567 ) / 1

LCM(760,1567) = 1190920 / 1

LCM(760,1567) = 1190920


Lets's calculate GCF of 821,7308

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1190920/1

Therefore the LCM of Fractions 760/821,1567/7308 is 1190920

Greatest Common Factor of 821,7308 By Matching Biggest Common Factor Method

Greatest Common Factor of 821,7308 By Matching Biggest Common Factor Method

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 7308

List of positive integer factors of 7308 that divides 7308 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,29,36,42,58,63,84,87,116,126,174,203,252,261,348,406,522,609,812,1044,1218,1827,2436,3654,7308

Greatest Common Factor

We found the factors 821,7308 . The biggest common factor number is the GCF number.
So the greatest common factor 821,7308 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 760/821, 1567/7308

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 760/821, 1567/7308?

Answer: LCM of Numerators as per given numbers 760/821, 1567/7308 is

LCM of Numerators i.e. for 760,1567 is 1190920

GCF of denominators i.e. for 821,7308 is 1.

Thus, LCM of Fractions is 1190920.Finally, LCM of Fractions for 760/821, 1567/7308 is 1190920.