Least Common Multiple of 243/168, 7007/8814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 243/168, 7007/8814 quickly i.e. 1702701/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 243/168, 7007/8814 is 1702701/6.

LCM(243/168, 7007/8814) = 1702701/6

LCM of 243/168, 7007/8814

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 243/168,7007/8814

Given numbers are 243/168,7007/8814

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 243,7007

Least Common Multiple of Numerators i.e. LCM of 243,7007 is 1702701.

GCF of Denominators means GCF of 168,8814 as per the given fractions.

GCF of 168,8814 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 243,7007

LCM of Fractions 243/168,7007/8814 is 1702701/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 1702701

Least Common Multiple of 243,7007 with GCF Formula

Least Common Multiple of 243,7007 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 243,7007 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,7007) = 1

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

GCF(243,7007) x common factors =1 x 1 = 1

LCM(243,7007) = ( 243 × 7007 ) / 1

LCM(243,7007) = 1702701 / 1

LCM(243,7007) = 1702701


Lets's calculate GCF of 168,8814

2 168, 8814
3 84, 4407
28, 1469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1702701/6

Therefore the LCM of Fractions 243/168,7007/8814 is 1702701/6

Greatest Common Factor of 168,8814 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,8814 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 8814

List of positive integer factors of 8814 that divides 8814 without a remainder.

1,2,3,6,13,26,39,78,113,226,339,678,1469,2938,4407,8814

Greatest Common Factor

We found the factors 168,8814 . The biggest common factor number is the GCF number.
So the greatest common factor 168,8814 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 243/168, 7007/8814

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 243/168, 7007/8814?

Answer: LCM of Numerators as per given numbers 243/168, 7007/8814 is

LCM of Numerators i.e. for 243,7007 is 1702701

GCF of denominators i.e. for 168,8814 is 6.

Thus, LCM of Fractions is 1702701/6.Finally, LCM of Fractions for 243/168, 7007/8814 is 1702701/6.