Least Common Multiple of 7284/114, 8253/4656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7284/114, 8253/4656 quickly i.e. 3339714 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7284/114, 8253/4656 is 3339714.

LCM(7284/114, 8253/4656) = 3339714

LCM of 7284/114, 8253/4656

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 7284/114,8253/4656

Given numbers are 7284/114,8253/4656

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 7284,8253

Least Common Multiple of Numerators i.e. LCM of 7284,8253 is 20038284.

GCF of Denominators means GCF of 114,4656 as per the given fractions.

GCF of 114,4656 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7284,8253

LCM of Fractions 7284/114,8253/4656 is 3339714

3 7284, 8253
2428, 2751

∴ So the LCM of the given numbers is 3 x 2428 x 2751 = 20038284

Least Common Multiple of 7284,8253 with GCF Formula

Least Common Multiple of 7284,8253 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 7284,8253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7284,8253) = 3

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

GCF(7284,8253) x common factors =3 x 1 = 3

LCM(7284,8253) = ( 7284 × 8253 ) / 3

LCM(7284,8253) = 60114852 / 3

LCM(7284,8253) = 20038284


Lets's calculate GCF of 114,4656

2 114, 4656
3 57, 2328
19, 776

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20038284/6

Therefore the LCM of Fractions 7284/114,8253/4656 is 3339714

Greatest Common Factor of 114,4656 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,4656 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 4656

List of positive integer factors of 4656 that divides 4656 without a remainder.

1,2,3,4,6,8,12,16,24,48,97,194,291,388,582,776,1164,1552,2328,4656

Greatest Common Factor

We found the factors 114,4656 . The biggest common factor number is the GCF number.
So the greatest common factor 114,4656 is 6.


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 7284/114, 8253/4656

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 7284/114, 8253/4656?

Answer: LCM of Numerators as per given numbers 7284/114, 8253/4656 is

LCM of Numerators i.e. for 7284,8253 is 20038284

GCF of denominators i.e. for 114,4656 is 6.

Thus, LCM of Fractions is 3339714.Finally, LCM of Fractions for 7284/114, 8253/4656 is 3339714.