Least Common Multiple of 14/282, 78/826, 258/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/282, 78/826, 258/854 quickly i.e. 11739 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/282, 78/826, 258/854 is 11739.

LCM(14/282, 78/826, 258/854) = 11739

LCM of 14/282, 78/826, 258/854

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 14/282,78/826,258/854

Given numbers are 14/282,78/826,258/854

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 14,78,258

Least Common Multiple of Numerators i.e. LCM of 14,78,258 is 23478.

GCF of Denominators means GCF of 282,826,854 as per the given fractions.

GCF of 282,826,854 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,78,258

LCM of Fractions 14/282,78/826,258/854 is 11739

2 14, 78, 258
3 7, 39, 129
7, 13, 43

∴ So the LCM of the given numbers is 2 x 3 x 7 x 13 x 43 = 23478

Least Common Multiple of 14,78,258 with GCF Formula

Least Common Multiple of 14,78,258 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 14,78,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,78,258) = 2

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

GCF(14,78,258) x common factors =2 x 6 = 12

LCM(14,78,258) = ( 14 × 78 × 258 ) / 12

LCM(14,78,258) = 281736 / 12

LCM(14,78,258) = 23478


Lets's calculate GCF of 282,826,854

2 282, 826, 854
141, 413, 427

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23478/2

Therefore the LCM of Fractions 14/282,78/826,258/854 is 11739

Greatest Common Factor of 282,826,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,826,854 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

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 282,826,854 . The biggest common factor number is the GCF number.
So the greatest common factor 282,826,854 is 2.


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 14/282, 78/826, 258/854

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 14/282, 78/826, 258/854?

Answer: LCM of Numerators as per given numbers 14/282, 78/826, 258/854 is

LCM of Numerators i.e. for 14,78,258 is 23478

GCF of denominators i.e. for 282,826,854 is 2.

Thus, LCM of Fractions is 11739.Finally, LCM of Fractions for 14/282, 78/826, 258/854 is 11739.