Least Common Multiple of 6993/168, 1364/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6993/168, 1364/924 quickly i.e. 113553 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6993/168, 1364/924 is 113553.

LCM(6993/168, 1364/924) = 113553

LCM of 6993/168, 1364/924

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 6993/168,1364/924

Given numbers are 6993/168,1364/924

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 6993,1364

Least Common Multiple of Numerators i.e. LCM of 6993,1364 is 9538452.

GCF of Denominators means GCF of 168,924 as per the given fractions.

GCF of 168,924 is 84 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6993,1364

LCM of Fractions 6993/168,1364/924 is 113553

Given numbers has no common factors except 1. So, there LCM is their product i.e 9538452

Least Common Multiple of 6993,1364 with GCF Formula

Least Common Multiple of 6993,1364 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 6993,1364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6993,1364) = 1

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

GCF(6993,1364) x common factors =1 x 1 = 1

LCM(6993,1364) = ( 6993 × 1364 ) / 1

LCM(6993,1364) = 9538452 / 1

LCM(6993,1364) = 9538452


Lets's calculate GCF of 168,924

2 168, 924
2 84, 462
3 42, 231
7 14, 77
2, 11

∴ So the GCF of the given numbers is 2 x 2 x 3 x 7 = 84

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9538452/84

Therefore the LCM of Fractions 6993/168,1364/924 is 113553

Greatest Common Factor of 168,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,924 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 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 168,924 . The biggest common factor number is the GCF number.
So the greatest common factor 168,924 is 84.


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 6993/168, 1364/924

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 6993/168, 1364/924?

Answer: LCM of Numerators as per given numbers 6993/168, 1364/924 is

LCM of Numerators i.e. for 6993,1364 is 9538452

GCF of denominators i.e. for 168,924 is 84.

Thus, LCM of Fractions is 113553.Finally, LCM of Fractions for 6993/168, 1364/924 is 113553.