Least Common Multiple of 14/667, 78/259, 942/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/667, 78/259, 942/854 quickly i.e. 85722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/667, 78/259, 942/854 is 85722.

LCM(14/667, 78/259, 942/854) = 85722

LCM of 14/667, 78/259, 942/854

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 14/667,78/259,942/854

Given numbers are 14/667,78/259,942/854

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 14,78,942

Least Common Multiple of Numerators i.e. LCM of 14,78,942 is 85722.

GCF of Denominators means GCF of 667,259,854 as per the given fractions.

GCF of 667,259,854 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,78,942

LCM of Fractions 14/667,78/259,942/854 is 85722

2 14, 78, 942
3 7, 39, 471
7, 13, 157

∴ So the LCM of the given numbers is 2 x 3 x 7 x 13 x 157 = 85722

Least Common Multiple of 14,78,942 with GCF Formula

Least Common Multiple of 14,78,942 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 14,78,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,78,942) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(14,78,942) x common factors =2 x 6 = 12

LCM(14,78,942) = ( 14 × 78 × 942 ) / 12

LCM(14,78,942) = 1028664 / 12

LCM(14,78,942) = 85722


Lets's calculate GCF of 667,259,854

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85722/1

Therefore the LCM of Fractions 14/667,78/259,942/854 is 85722

Greatest Common Factor of 667,259,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 667,259,854 By Matching Biggest Common Factor Method

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 667,259,854 . The biggest common factor number is the GCF number.
So the greatest common factor 667,259,854 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 14/667, 78/259, 942/854

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 14/667, 78/259, 942/854?

Answer: LCM of Numerators as per given numbers 14/667, 78/259, 942/854 is

LCM of Numerators i.e. for 14,78,942 is 85722

GCF of denominators i.e. for 667,259,854 is 1.

Thus, LCM of Fractions is 85722.Finally, LCM of Fractions for 14/667, 78/259, 942/854 is 85722.