Least Common Multiple of 67/259, 68/249, 556/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/259, 68/249, 556/952 quickly i.e. 633284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/259, 68/249, 556/952 is 633284.

LCM(67/259, 68/249, 556/952) = 633284

LCM of 67/259, 68/249, 556/952

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 67/259,68/249,556/952

Given numbers are 67/259,68/249,556/952

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 67,68,556

Least Common Multiple of Numerators i.e. LCM of 67,68,556 is 633284.

GCF of Denominators means GCF of 259,249,952 as per the given fractions.

GCF of 259,249,952 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,68,556

LCM of Fractions 67/259,68/249,556/952 is 633284

2 67, 68, 556
2 67, 34, 278
67, 17, 139

∴ So the LCM of the given numbers is 2 x 2 x 67 x 17 x 139 = 633284

Least Common Multiple of 67,68,556 with GCF Formula

Least Common Multiple of 67,68,556 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 67,68,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,68,556) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(67,68,556) x common factors =1 x 4 = 4

LCM(67,68,556) = ( 67 × 68 × 556 ) / 4

LCM(67,68,556) = 2533136 / 4

LCM(67,68,556) = 633284


Lets's calculate GCF of 259,249,952

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 633284/1

Therefore the LCM of Fractions 67/259,68/249,556/952 is 633284

Greatest Common Factor of 259,249,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 259,249,952 By Matching Biggest Common Factor Method

Factors of 259

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

1,7,37,259

Factors of 249

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

1,3,83,249

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 259,249,952 . The biggest common factor number is the GCF number.
So the greatest common factor 259,249,952 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 67/259, 68/249, 556/952

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 67/259, 68/249, 556/952?

Answer: LCM of Numerators as per given numbers 67/259, 68/249, 556/952 is

LCM of Numerators i.e. for 67,68,556 is 633284

GCF of denominators i.e. for 259,249,952 is 1.

Thus, LCM of Fractions is 633284.Finally, LCM of Fractions for 67/259, 68/249, 556/952 is 633284.