Least Common Multiple of 259/93, 266/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 259/93, 266/964 quickly i.e. 9842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 259/93, 266/964 is 9842.

LCM(259/93, 266/964) = 9842

LCM of 259/93, 266/964

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 259/93,266/964

Given numbers are 259/93,266/964

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 259,266

Least Common Multiple of Numerators i.e. LCM of 259,266 is 9842.

GCF of Denominators means GCF of 93,964 as per the given fractions.

GCF of 93,964 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 259,266

LCM of Fractions 259/93,266/964 is 9842

7 259, 266
37, 38

∴ So the LCM of the given numbers is 7 x 37 x 38 = 9842

Least Common Multiple of 259,266 with GCF Formula

Least Common Multiple of 259,266 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 259,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(259,266) = 7

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

GCF(259,266) x common factors =7 x 1 = 7

LCM(259,266) = ( 259 × 266 ) / 7

LCM(259,266) = 68894 / 7

LCM(259,266) = 9842


Lets's calculate GCF of 93,964

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9842/1

Therefore the LCM of Fractions 259/93,266/964 is 9842

Greatest Common Factor of 93,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,964 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors 93,964 . The biggest common factor number is the GCF number.
So the greatest common factor 93,964 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 259/93, 266/964

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 259/93, 266/964?

Answer: LCM of Numerators as per given numbers 259/93, 266/964 is

LCM of Numerators i.e. for 259,266 is 9842

GCF of denominators i.e. for 93,964 is 1.

Thus, LCM of Fractions is 9842.Finally, LCM of Fractions for 259/93, 266/964 is 9842.