Least Common Multiple of 715/21, 370/60, 698/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 715/21, 370/60, 698/642 quickly i.e. 18465590/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 715/21, 370/60, 698/642 is 18465590/3.

LCM(715/21, 370/60, 698/642) = 18465590/3

LCM of 715/21, 370/60, 698/642

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 715/21,370/60,698/642

Given numbers are 715/21,370/60,698/642

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 715,370,698

Least Common Multiple of Numerators i.e. LCM of 715,370,698 is 18465590.

GCF of Denominators means GCF of 21,60,642 as per the given fractions.

GCF of 21,60,642 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 715,370,698

LCM of Fractions 715/21,370/60,698/642 is 18465590/3

2 715, 370, 698
5 715, 185, 349
143, 37, 349

∴ So the LCM of the given numbers is 2 x 5 x 143 x 37 x 349 = 18465590

Least Common Multiple of 715,370,698 with GCF Formula

Least Common Multiple of 715,370,698 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 715,370,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,370,698) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(715,370,698) x common factors =1 x 10 = 10

LCM(715,370,698) = ( 715 × 370 × 698 ) / 10

LCM(715,370,698) = 184655900 / 10

LCM(715,370,698) = 18465590


Lets's calculate GCF of 21,60,642

3 21, 60, 642
7, 20, 214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18465590/3

Therefore the LCM of Fractions 715/21,370/60,698/642 is 18465590/3

Greatest Common Factor of 21,60,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,60,642 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 21,60,642 . The biggest common factor number is the GCF number.
So the greatest common factor 21,60,642 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 715/21, 370/60, 698/642

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 715/21, 370/60, 698/642?

Answer: LCM of Numerators as per given numbers 715/21, 370/60, 698/642 is

LCM of Numerators i.e. for 715,370,698 is 18465590

GCF of denominators i.e. for 21,60,642 is 3.

Thus, LCM of Fractions is 18465590/3.Finally, LCM of Fractions for 715/21, 370/60, 698/642 is 18465590/3.