Least Common Multiple of 217/30, 207/42, 743/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/30, 207/42, 743/861 quickly i.e. 11124939 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/30, 207/42, 743/861 is 11124939.

LCM(217/30, 207/42, 743/861) = 11124939

LCM of 217/30, 207/42, 743/861

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 217/30,207/42,743/861

Given numbers are 217/30,207/42,743/861

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 217,207,743

Least Common Multiple of Numerators i.e. LCM of 217,207,743 is 33374817.

GCF of Denominators means GCF of 30,42,861 as per the given fractions.

GCF of 30,42,861 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,207,743

LCM of Fractions 217/30,207/42,743/861 is 11124939

Given numbers has no common factors except 1. So, there LCM is their product i.e 33374817

Least Common Multiple of 217,207,743 with GCF Formula

Least Common Multiple of 217,207,743 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 217,207,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,207,743) = 1

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

GCF(217,207,743) x common factors =1 x 1 = 1

LCM(217,207,743) = ( 217 × 207 × 743 ) / 1

LCM(217,207,743) = 33374817 / 1

LCM(217,207,743) = 33374817


Lets's calculate GCF of 30,42,861

3 30, 42, 861
10, 14, 287

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33374817/3

Therefore the LCM of Fractions 217/30,207/42,743/861 is 11124939

Greatest Common Factor of 30,42,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,42,861 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

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 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 30,42,861 . The biggest common factor number is the GCF number.
So the greatest common factor 30,42,861 is 3.


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 217/30, 207/42, 743/861

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 217/30, 207/42, 743/861?

Answer: LCM of Numerators as per given numbers 217/30, 207/42, 743/861 is

LCM of Numerators i.e. for 217,207,743 is 33374817

GCF of denominators i.e. for 30,42,861 is 3.

Thus, LCM of Fractions is 11124939.Finally, LCM of Fractions for 217/30, 207/42, 743/861 is 11124939.