Least Common Multiple of 294/21, 864/9107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 294/21, 864/9107 quickly i.e. 6048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 294/21, 864/9107 is 6048.

LCM(294/21, 864/9107) = 6048

LCM of 294/21, 864/9107

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 294/21,864/9107

Given numbers are 294/21,864/9107

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 294,864

Least Common Multiple of Numerators i.e. LCM of 294,864 is 42336.

GCF of Denominators means GCF of 21,9107 as per the given fractions.

GCF of 21,9107 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 294,864

LCM of Fractions 294/21,864/9107 is 6048

2 294, 864
3 147, 432
49, 144

∴ So the LCM of the given numbers is 2 x 3 x 49 x 144 = 42336

Least Common Multiple of 294,864 with GCF Formula

Least Common Multiple of 294,864 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 294,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,864) = 6

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

GCF(294,864) x common factors =6 x 1 = 6

LCM(294,864) = ( 294 × 864 ) / 6

LCM(294,864) = 254016 / 6

LCM(294,864) = 42336


Lets's calculate GCF of 21,9107

7 21, 9107
3, 1301

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42336/7

Therefore the LCM of Fractions 294/21,864/9107 is 6048

Greatest Common Factor of 21,9107 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,9107 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 9107

List of positive integer factors of 9107 that divides 9107 without a remainder.

1,7,1301,9107

Greatest Common Factor

We found the factors 21,9107 . The biggest common factor number is the GCF number.
So the greatest common factor 21,9107 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 294/21, 864/9107

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 294/21, 864/9107?

Answer: LCM of Numerators as per given numbers 294/21, 864/9107 is

LCM of Numerators i.e. for 294,864 is 42336

GCF of denominators i.e. for 21,9107 is 7.

Thus, LCM of Fractions is 6048.Finally, LCM of Fractions for 294/21, 864/9107 is 6048.