Least Common Multiple of 84/294, 6092/9123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/294, 6092/9123 quickly i.e. 42644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/294, 6092/9123 is 42644.

LCM(84/294, 6092/9123) = 42644

LCM of 84/294, 6092/9123

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 84/294,6092/9123

Given numbers are 84/294,6092/9123

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 84,6092

Least Common Multiple of Numerators i.e. LCM of 84,6092 is 127932.

GCF of Denominators means GCF of 294,9123 as per the given fractions.

GCF of 294,9123 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,6092

LCM of Fractions 84/294,6092/9123 is 42644

2 84, 6092
2 42, 3046
21, 1523

∴ So the LCM of the given numbers is 2 x 2 x 21 x 1523 = 127932

Least Common Multiple of 84,6092 with GCF Formula

Least Common Multiple of 84,6092 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 84,6092 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,6092) = 4

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

GCF(84,6092) x common factors =4 x 1 = 4

LCM(84,6092) = ( 84 × 6092 ) / 4

LCM(84,6092) = 511728 / 4

LCM(84,6092) = 127932


Lets's calculate GCF of 294,9123

3 294, 9123
98, 3041

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127932/3

Therefore the LCM of Fractions 84/294,6092/9123 is 42644

Greatest Common Factor of 294,9123 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,9123 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 9123

List of positive integer factors of 9123 that divides 9123 without a remainder.

1,3,3041,9123

Greatest Common Factor

We found the factors 294,9123 . The biggest common factor number is the GCF number.
So the greatest common factor 294,9123 is 3.


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 84/294, 6092/9123

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 84/294, 6092/9123?

Answer: LCM of Numerators as per given numbers 84/294, 6092/9123 is

LCM of Numerators i.e. for 84,6092 is 127932

GCF of denominators i.e. for 294,9123 is 3.

Thus, LCM of Fractions is 42644.Finally, LCM of Fractions for 84/294, 6092/9123 is 42644.