Least Common Multiple of 34/259, 61/709, 288/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/259, 61/709, 288/992 quickly i.e. 298656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/259, 61/709, 288/992 is 298656.

LCM(34/259, 61/709, 288/992) = 298656

LCM of 34/259, 61/709, 288/992

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 34/259,61/709,288/992

Given numbers are 34/259,61/709,288/992

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 34,61,288

Least Common Multiple of Numerators i.e. LCM of 34,61,288 is 298656.

GCF of Denominators means GCF of 259,709,992 as per the given fractions.

GCF of 259,709,992 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,61,288

LCM of Fractions 34/259,61/709,288/992 is 298656

2 34, 61, 288
17, 61, 144

∴ So the LCM of the given numbers is 2 x 17 x 61 x 144 = 298656

Least Common Multiple of 34,61,288 with GCF Formula

Least Common Multiple of 34,61,288 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 34,61,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,61,288) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,61,288) x common factors =1 x 2 = 2

LCM(34,61,288) = ( 34 × 61 × 288 ) / 2

LCM(34,61,288) = 597312 / 2

LCM(34,61,288) = 298656


Lets's calculate GCF of 259,709,992

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298656/1

Therefore the LCM of Fractions 34/259,61/709,288/992 is 298656

Greatest Common Factor of 259,709,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 259,709,992 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 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 259,709,992 . The biggest common factor number is the GCF number.
So the greatest common factor 259,709,992 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 34/259, 61/709, 288/992

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 34/259, 61/709, 288/992?

Answer: LCM of Numerators as per given numbers 34/259, 61/709, 288/992 is

LCM of Numerators i.e. for 34,61,288 is 298656

GCF of denominators i.e. for 259,709,992 is 1.

Thus, LCM of Fractions is 298656.Finally, LCM of Fractions for 34/259, 61/709, 288/992 is 298656.