Least Common Multiple of 9074/565, 8487/7670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9074/565, 8487/7670 quickly i.e. 77011038/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9074/565, 8487/7670 is 77011038/5.

LCM(9074/565, 8487/7670) = 77011038/5

LCM of 9074/565, 8487/7670

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 9074/565,8487/7670

Given numbers are 9074/565,8487/7670

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 9074,8487

Least Common Multiple of Numerators i.e. LCM of 9074,8487 is 77011038.

GCF of Denominators means GCF of 565,7670 as per the given fractions.

GCF of 565,7670 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9074,8487

LCM of Fractions 9074/565,8487/7670 is 77011038/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 77011038

Least Common Multiple of 9074,8487 with GCF Formula

Least Common Multiple of 9074,8487 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 9074,8487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9074,8487) = 1

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

GCF(9074,8487) x common factors =1 x 1 = 1

LCM(9074,8487) = ( 9074 × 8487 ) / 1

LCM(9074,8487) = 77011038 / 1

LCM(9074,8487) = 77011038


Lets's calculate GCF of 565,7670

5 565, 7670
113, 1534

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77011038/5

Therefore the LCM of Fractions 9074/565,8487/7670 is 77011038/5

Greatest Common Factor of 565,7670 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,7670 By Matching Biggest Common Factor Method

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 7670

List of positive integer factors of 7670 that divides 7670 without a remainder.

1,2,5,10,13,26,59,65,118,130,295,590,767,1534,3835,7670

Greatest Common Factor

We found the factors 565,7670 . The biggest common factor number is the GCF number.
So the greatest common factor 565,7670 is 5.


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 9074/565, 8487/7670

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 9074/565, 8487/7670?

Answer: LCM of Numerators as per given numbers 9074/565, 8487/7670 is

LCM of Numerators i.e. for 9074,8487 is 77011038

GCF of denominators i.e. for 565,7670 is 5.

Thus, LCM of Fractions is 77011038/5.Finally, LCM of Fractions for 9074/565, 8487/7670 is 77011038/5.