Least Common Multiple of 69/294, 21/681, 715/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/294, 21/681, 715/640 quickly i.e. 345345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/294, 21/681, 715/640 is 345345.

LCM(69/294, 21/681, 715/640) = 345345

LCM of 69/294, 21/681, 715/640

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 69/294,21/681,715/640

Given numbers are 69/294,21/681,715/640

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 69,21,715

Least Common Multiple of Numerators i.e. LCM of 69,21,715 is 345345.

GCF of Denominators means GCF of 294,681,640 as per the given fractions.

GCF of 294,681,640 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,21,715

LCM of Fractions 69/294,21/681,715/640 is 345345

3 69, 21, 715
23, 7, 715

∴ So the LCM of the given numbers is 3 x 23 x 7 x 715 = 345345

Least Common Multiple of 69,21,715 with GCF Formula

Least Common Multiple of 69,21,715 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 69,21,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,21,715) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,21,715) x common factors =1 x 3 = 3

LCM(69,21,715) = ( 69 × 21 × 715 ) / 3

LCM(69,21,715) = 1036035 / 3

LCM(69,21,715) = 345345


Lets's calculate GCF of 294,681,640

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 345345/1

Therefore the LCM of Fractions 69/294,21/681,715/640 is 345345

Greatest Common Factor of 294,681,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,681,640 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 294,681,640 . The biggest common factor number is the GCF number.
So the greatest common factor 294,681,640 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 69/294, 21/681, 715/640

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 69/294, 21/681, 715/640?

Answer: LCM of Numerators as per given numbers 69/294, 21/681, 715/640 is

LCM of Numerators i.e. for 69,21,715 is 345345

GCF of denominators i.e. for 294,681,640 is 1.

Thus, LCM of Fractions is 345345.Finally, LCM of Fractions for 69/294, 21/681, 715/640 is 345345.