Least Common Multiple of 798/215, 714/302, 139/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 798/215, 714/302, 139/694 quickly i.e. 1885674 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 798/215, 714/302, 139/694 is 1885674.

LCM(798/215, 714/302, 139/694) = 1885674

LCM of 798/215, 714/302, 139/694

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 798/215,714/302,139/694

Given numbers are 798/215,714/302,139/694

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 798,714,139

Least Common Multiple of Numerators i.e. LCM of 798,714,139 is 1885674.

GCF of Denominators means GCF of 215,302,694 as per the given fractions.

GCF of 215,302,694 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 798,714,139

LCM of Fractions 798/215,714/302,139/694 is 1885674

2 798, 714, 139
3 399, 357, 139
7 133, 119, 139
19, 17, 139

∴ So the LCM of the given numbers is 2 x 3 x 7 x 19 x 17 x 139 = 1885674

Least Common Multiple of 798,714,139 with GCF Formula

Least Common Multiple of 798,714,139 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 798,714,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,714,139) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(798,714,139) x common factors =1 x 42 = 42

LCM(798,714,139) = ( 798 × 714 × 139 ) / 42

LCM(798,714,139) = 79198308 / 42

LCM(798,714,139) = 1885674


Lets's calculate GCF of 215,302,694

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1885674/1

Therefore the LCM of Fractions 798/215,714/302,139/694 is 1885674

Greatest Common Factor of 215,302,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 215,302,694 By Matching Biggest Common Factor Method

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 215,302,694 . The biggest common factor number is the GCF number.
So the greatest common factor 215,302,694 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 798/215, 714/302, 139/694

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 798/215, 714/302, 139/694?

Answer: LCM of Numerators as per given numbers 798/215, 714/302, 139/694 is

LCM of Numerators i.e. for 798,714,139 is 1885674

GCF of denominators i.e. for 215,302,694 is 1.

Thus, LCM of Fractions is 1885674.Finally, LCM of Fractions for 798/215, 714/302, 139/694 is 1885674.