Least Common Multiple of 981/10, 349/18, 259/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 981/10, 349/18, 259/766 quickly i.e. 88673571/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 981/10, 349/18, 259/766 is 88673571/2.

LCM(981/10, 349/18, 259/766) = 88673571/2

LCM of 981/10, 349/18, 259/766

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 981/10,349/18,259/766

Given numbers are 981/10,349/18,259/766

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 981,349,259

Least Common Multiple of Numerators i.e. LCM of 981,349,259 is 88673571.

GCF of Denominators means GCF of 10,18,766 as per the given fractions.

GCF of 10,18,766 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 981,349,259

LCM of Fractions 981/10,349/18,259/766 is 88673571/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 88673571

Least Common Multiple of 981,349,259 with GCF Formula

Least Common Multiple of 981,349,259 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 981,349,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,349,259) = 1

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

GCF(981,349,259) x common factors =1 x 1 = 1

LCM(981,349,259) = ( 981 × 349 × 259 ) / 1

LCM(981,349,259) = 88673571 / 1

LCM(981,349,259) = 88673571


Lets's calculate GCF of 10,18,766

2 10, 18, 766
5, 9, 383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88673571/2

Therefore the LCM of Fractions 981/10,349/18,259/766 is 88673571/2

Greatest Common Factor of 10,18,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,18,766 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 10,18,766 . The biggest common factor number is the GCF number.
So the greatest common factor 10,18,766 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 981/10, 349/18, 259/766

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 981/10, 349/18, 259/766?

Answer: LCM of Numerators as per given numbers 981/10, 349/18, 259/766 is

LCM of Numerators i.e. for 981,349,259 is 88673571

GCF of denominators i.e. for 10,18,766 is 2.

Thus, LCM of Fractions is 88673571/2.Finally, LCM of Fractions for 981/10, 349/18, 259/766 is 88673571/2.