Least Common Multiple of 714/136, 793/653, 315/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 714/136, 793/653, 315/816 quickly i.e. 8493030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 714/136, 793/653, 315/816 is 8493030.

LCM(714/136, 793/653, 315/816) = 8493030

LCM of 714/136, 793/653, 315/816

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 714/136,793/653,315/816

Given numbers are 714/136,793/653,315/816

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 714,793,315

Least Common Multiple of Numerators i.e. LCM of 714,793,315 is 8493030.

GCF of Denominators means GCF of 136,653,816 as per the given fractions.

GCF of 136,653,816 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 714,793,315

LCM of Fractions 714/136,793/653,315/816 is 8493030

3 714, 793, 315
7 238, 793, 105
34, 793, 15

∴ So the LCM of the given numbers is 3 x 7 x 34 x 793 x 15 = 8493030

Least Common Multiple of 714,793,315 with GCF Formula

Least Common Multiple of 714,793,315 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 714,793,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,793,315) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(714,793,315) x common factors =1 x 21 = 21

LCM(714,793,315) = ( 714 × 793 × 315 ) / 21

LCM(714,793,315) = 178353630 / 21

LCM(714,793,315) = 8493030


Lets's calculate GCF of 136,653,816

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8493030/1

Therefore the LCM of Fractions 714/136,793/653,315/816 is 8493030

Greatest Common Factor of 136,653,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,653,816 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 653

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

1,653

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 136,653,816 . The biggest common factor number is the GCF number.
So the greatest common factor 136,653,816 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 714/136, 793/653, 315/816

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 714/136, 793/653, 315/816?

Answer: LCM of Numerators as per given numbers 714/136, 793/653, 315/816 is

LCM of Numerators i.e. for 714,793,315 is 8493030

GCF of denominators i.e. for 136,653,816 is 1.

Thus, LCM of Fractions is 8493030.Finally, LCM of Fractions for 714/136, 793/653, 315/816 is 8493030.