Least Common Multiple of 59/14, 652/42, 255/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/14, 652/42, 255/249 quickly i.e. 9809340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/14, 652/42, 255/249 is 9809340.

LCM(59/14, 652/42, 255/249) = 9809340

LCM of 59/14, 652/42, 255/249

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 59/14,652/42,255/249

Given numbers are 59/14,652/42,255/249

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 59,652,255

Least Common Multiple of Numerators i.e. LCM of 59,652,255 is 9809340.

GCF of Denominators means GCF of 14,42,249 as per the given fractions.

GCF of 14,42,249 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,652,255

LCM of Fractions 59/14,652/42,255/249 is 9809340

Given numbers has no common factors except 1. So, there LCM is their product i.e 9809340

Least Common Multiple of 59,652,255 with GCF Formula

Least Common Multiple of 59,652,255 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 59,652,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,652,255) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(59,652,255) x common factors =1 x 1 = 1

LCM(59,652,255) = ( 59 × 652 × 255 ) / 1

LCM(59,652,255) = 9809340 / 1

LCM(59,652,255) = 9809340


Lets's calculate GCF of 14,42,249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9809340/1

Therefore the LCM of Fractions 59/14,652/42,255/249 is 9809340

Greatest Common Factor of 14,42,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,42,249 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 14,42,249 . The biggest common factor number is the GCF number.
So the greatest common factor 14,42,249 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 59/14, 652/42, 255/249

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 59/14, 652/42, 255/249?

Answer: LCM of Numerators as per given numbers 59/14, 652/42, 255/249 is

LCM of Numerators i.e. for 59,652,255 is 9809340

GCF of denominators i.e. for 14,42,249 is 1.

Thus, LCM of Fractions is 9809340.Finally, LCM of Fractions for 59/14, 652/42, 255/249 is 9809340.