Least Common Multiple of 1758/68, 9744/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1758/68, 9744/961 quickly i.e. 2854992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1758/68, 9744/961 is 2854992.

LCM(1758/68, 9744/961) = 2854992

LCM of 1758/68, 9744/961

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 1758/68,9744/961

Given numbers are 1758/68,9744/961

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 1758,9744

Least Common Multiple of Numerators i.e. LCM of 1758,9744 is 2854992.

GCF of Denominators means GCF of 68,961 as per the given fractions.

GCF of 68,961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1758,9744

LCM of Fractions 1758/68,9744/961 is 2854992

2 1758, 9744
3 879, 4872
293, 1624

∴ So the LCM of the given numbers is 2 x 3 x 293 x 1624 = 2854992

Least Common Multiple of 1758,9744 with GCF Formula

Least Common Multiple of 1758,9744 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 1758,9744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1758,9744) = 6

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

GCF(1758,9744) x common factors =6 x 1 = 6

LCM(1758,9744) = ( 1758 × 9744 ) / 6

LCM(1758,9744) = 17129952 / 6

LCM(1758,9744) = 2854992


Lets's calculate GCF of 68,961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2854992/1

Therefore the LCM of Fractions 1758/68,9744/961 is 2854992

Greatest Common Factor of 68,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,961 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 68,961 . The biggest common factor number is the GCF number.
So the greatest common factor 68,961 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 1758/68, 9744/961

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 1758/68, 9744/961?

Answer: LCM of Numerators as per given numbers 1758/68, 9744/961 is

LCM of Numerators i.e. for 1758,9744 is 2854992

GCF of denominators i.e. for 68,961 is 1.

Thus, LCM of Fractions is 2854992.Finally, LCM of Fractions for 1758/68, 9744/961 is 2854992.