Least Common Multiple of 70/729, 43/823, 121/653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/729, 43/823, 121/653 quickly i.e. 364210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/729, 43/823, 121/653 is 364210.

LCM(70/729, 43/823, 121/653) = 364210

LCM of 70/729, 43/823, 121/653

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 70/729,43/823,121/653

Given numbers are 70/729,43/823,121/653

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 70,43,121

Least Common Multiple of Numerators i.e. LCM of 70,43,121 is 364210.

GCF of Denominators means GCF of 729,823,653 as per the given fractions.

GCF of 729,823,653 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,43,121

LCM of Fractions 70/729,43/823,121/653 is 364210

Given numbers has no common factors except 1. So, there LCM is their product i.e 364210

Least Common Multiple of 70,43,121 with GCF Formula

Least Common Multiple of 70,43,121 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 70,43,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,43,121) = 1

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

GCF(70,43,121) x common factors =1 x 1 = 1

LCM(70,43,121) = ( 70 × 43 × 121 ) / 1

LCM(70,43,121) = 364210 / 1

LCM(70,43,121) = 364210


Lets's calculate GCF of 729,823,653

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 364210/1

Therefore the LCM of Fractions 70/729,43/823,121/653 is 364210

Greatest Common Factor of 729,823,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,823,653 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 729,823,653 . The biggest common factor number is the GCF number.
So the greatest common factor 729,823,653 is 1.


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 70/729, 43/823, 121/653

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 70/729, 43/823, 121/653?

Answer: LCM of Numerators as per given numbers 70/729, 43/823, 121/653 is

LCM of Numerators i.e. for 70,43,121 is 364210

GCF of denominators i.e. for 729,823,653 is 1.

Thus, LCM of Fractions is 364210.Finally, LCM of Fractions for 70/729, 43/823, 121/653 is 364210.