Least Common Multiple of 693/42, 200/2724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 693/42, 200/2724 quickly i.e. 23100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 693/42, 200/2724 is 23100.

LCM(693/42, 200/2724) = 23100

LCM of 693/42, 200/2724

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 693/42,200/2724

Given numbers are 693/42,200/2724

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 693,200

Least Common Multiple of Numerators i.e. LCM of 693,200 is 138600.

GCF of Denominators means GCF of 42,2724 as per the given fractions.

GCF of 42,2724 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 693,200

LCM of Fractions 693/42,200/2724 is 23100

Given numbers has no common factors except 1. So, there LCM is their product i.e 138600

Least Common Multiple of 693,200 with GCF Formula

Least Common Multiple of 693,200 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 693,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,200) = 1

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

GCF(693,200) x common factors =1 x 1 = 1

LCM(693,200) = ( 693 × 200 ) / 1

LCM(693,200) = 138600 / 1

LCM(693,200) = 138600


Lets's calculate GCF of 42,2724

2 42, 2724
3 21, 1362
7, 454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138600/6

Therefore the LCM of Fractions 693/42,200/2724 is 23100

Greatest Common Factor of 42,2724 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,2724 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 2724

List of positive integer factors of 2724 that divides 2724 without a remainder.

1,2,3,4,6,12,227,454,681,908,1362,2724

Greatest Common Factor

We found the factors 42,2724 . The biggest common factor number is the GCF number.
So the greatest common factor 42,2724 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 693/42, 200/2724

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 693/42, 200/2724?

Answer: LCM of Numerators as per given numbers 693/42, 200/2724 is

LCM of Numerators i.e. for 693,200 is 138600

GCF of denominators i.e. for 42,2724 is 6.

Thus, LCM of Fractions is 23100.Finally, LCM of Fractions for 693/42, 200/2724 is 23100.