Least Common Multiple of 68/13, 786/94, 714/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/13, 786/94, 714/815 quickly i.e. 187068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/13, 786/94, 714/815 is 187068.

LCM(68/13, 786/94, 714/815) = 187068

LCM of 68/13, 786/94, 714/815

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 68/13,786/94,714/815

Given numbers are 68/13,786/94,714/815

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 68,786,714

Least Common Multiple of Numerators i.e. LCM of 68,786,714 is 187068.

GCF of Denominators means GCF of 13,94,815 as per the given fractions.

GCF of 13,94,815 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,786,714

LCM of Fractions 68/13,786/94,714/815 is 187068

2 68, 786, 714
3 34, 393, 357
17 34, 131, 119
2, 131, 7

∴ So the LCM of the given numbers is 2 x 3 x 17 x 2 x 131 x 7 = 187068

Least Common Multiple of 68,786,714 with GCF Formula

Least Common Multiple of 68,786,714 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 68,786,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,786,714) = 2

common factors(in case of two or more numbers have common factors) = 102

GCF(68,786,714) x common factors =2 x 102 = 204

LCM(68,786,714) = ( 68 × 786 × 714 ) / 204

LCM(68,786,714) = 38161872 / 204

LCM(68,786,714) = 187068


Lets's calculate GCF of 13,94,815

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187068/1

Therefore the LCM of Fractions 68/13,786/94,714/815 is 187068

Greatest Common Factor of 13,94,815 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,94,815 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Greatest Common Factor

We found the factors 13,94,815 . The biggest common factor number is the GCF number.
So the greatest common factor 13,94,815 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 68/13, 786/94, 714/815

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 68/13, 786/94, 714/815?

Answer: LCM of Numerators as per given numbers 68/13, 786/94, 714/815 is

LCM of Numerators i.e. for 68,786,714 is 187068

GCF of denominators i.e. for 13,94,815 is 1.

Thus, LCM of Fractions is 187068.Finally, LCM of Fractions for 68/13, 786/94, 714/815 is 187068.