Least Common Multiple of 684/24, 798/7066

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 684/24, 798/7066 quickly i.e. 2394 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/24, 798/7066 is 2394.

LCM(684/24, 798/7066) = 2394

LCM of 684/24, 798/7066

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 684/24,798/7066

Given numbers are 684/24,798/7066

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 684,798

Least Common Multiple of Numerators i.e. LCM of 684,798 is 4788.

GCF of Denominators means GCF of 24,7066 as per the given fractions.

GCF of 24,7066 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,798

LCM of Fractions 684/24,798/7066 is 2394

2 684, 798
3 342, 399
19 114, 133
6, 7

∴ So the LCM of the given numbers is 2 x 3 x 19 x 6 x 7 = 4788

Least Common Multiple of 684,798 with GCF Formula

Least Common Multiple of 684,798 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 684,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,798) = 114

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

GCF(684,798) x common factors =114 x 1 = 114

LCM(684,798) = ( 684 × 798 ) / 114

LCM(684,798) = 545832 / 114

LCM(684,798) = 4788


Lets's calculate GCF of 24,7066

2 24, 7066
12, 3533

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4788/2

Therefore the LCM of Fractions 684/24,798/7066 is 2394

Greatest Common Factor of 24,7066 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,7066 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 7066

List of positive integer factors of 7066 that divides 7066 without a remainder.

1,2,3533,7066

Greatest Common Factor

We found the factors 24,7066 . The biggest common factor number is the GCF number.
So the greatest common factor 24,7066 is 2.


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 684/24, 798/7066

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 684/24, 798/7066?

Answer: LCM of Numerators as per given numbers 684/24, 798/7066 is

LCM of Numerators i.e. for 684,798 is 4788

GCF of denominators i.e. for 24,7066 is 2.

Thus, LCM of Fractions is 2394.Finally, LCM of Fractions for 684/24, 798/7066 is 2394.