Least Common Multiple of 3092/469, 7787/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3092/469, 7787/567 quickly i.e. 24077404/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3092/469, 7787/567 is 24077404/7.

LCM(3092/469, 7787/567) = 24077404/7

LCM of 3092/469, 7787/567

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 3092/469,7787/567

Given numbers are 3092/469,7787/567

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 3092,7787

Least Common Multiple of Numerators i.e. LCM of 3092,7787 is 24077404.

GCF of Denominators means GCF of 469,567 as per the given fractions.

GCF of 469,567 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3092,7787

LCM of Fractions 3092/469,7787/567 is 24077404/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 24077404

Least Common Multiple of 3092,7787 with GCF Formula

Least Common Multiple of 3092,7787 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 3092,7787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3092,7787) = 1

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

GCF(3092,7787) x common factors =1 x 1 = 1

LCM(3092,7787) = ( 3092 × 7787 ) / 1

LCM(3092,7787) = 24077404 / 1

LCM(3092,7787) = 24077404


Lets's calculate GCF of 469,567

7 469, 567
67, 81

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24077404/7

Therefore the LCM of Fractions 3092/469,7787/567 is 24077404/7

Greatest Common Factor of 469,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,567 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors 469,567 . The biggest common factor number is the GCF number.
So the greatest common factor 469,567 is 7.


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 3092/469, 7787/567

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 3092/469, 7787/567?

Answer: LCM of Numerators as per given numbers 3092/469, 7787/567 is

LCM of Numerators i.e. for 3092,7787 is 24077404

GCF of denominators i.e. for 469,567 is 7.

Thus, LCM of Fractions is 24077404/7.Finally, LCM of Fractions for 3092/469, 7787/567 is 24077404/7.