Least Common Multiple of 14/257, 119/151, 667/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/257, 119/151, 667/168 quickly i.e. 158746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/257, 119/151, 667/168 is 158746.

LCM(14/257, 119/151, 667/168) = 158746

LCM of 14/257, 119/151, 667/168

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 14/257,119/151,667/168

Given numbers are 14/257,119/151,667/168

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 14,119,667

Least Common Multiple of Numerators i.e. LCM of 14,119,667 is 158746.

GCF of Denominators means GCF of 257,151,168 as per the given fractions.

GCF of 257,151,168 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,119,667

LCM of Fractions 14/257,119/151,667/168 is 158746

7 14, 119, 667
2, 17, 667

∴ So the LCM of the given numbers is 7 x 2 x 17 x 667 = 158746

Least Common Multiple of 14,119,667 with GCF Formula

Least Common Multiple of 14,119,667 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 14,119,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,119,667) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(14,119,667) x common factors =1 x 7 = 7

LCM(14,119,667) = ( 14 × 119 × 667 ) / 7

LCM(14,119,667) = 1111222 / 7

LCM(14,119,667) = 158746


Lets's calculate GCF of 257,151,168

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158746/1

Therefore the LCM of Fractions 14/257,119/151,667/168 is 158746

Greatest Common Factor of 257,151,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 257,151,168 By Matching Biggest Common Factor Method

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 257,151,168 . The biggest common factor number is the GCF number.
So the greatest common factor 257,151,168 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 14/257, 119/151, 667/168

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 14/257, 119/151, 667/168?

Answer: LCM of Numerators as per given numbers 14/257, 119/151, 667/168 is

LCM of Numerators i.e. for 14,119,667 is 158746

GCF of denominators i.e. for 257,151,168 is 1.

Thus, LCM of Fractions is 158746.Finally, LCM of Fractions for 14/257, 119/151, 667/168 is 158746.