Least Common Multiple of 105/960, 649/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 105/960, 649/177 quickly i.e. 22715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 105/960, 649/177 is 22715.

LCM(105/960, 649/177) = 22715

LCM of 105/960, 649/177

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 105/960,649/177

Given numbers are 105/960,649/177

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 105,649

Least Common Multiple of Numerators i.e. LCM of 105,649 is 68145.

GCF of Denominators means GCF of 960,177 as per the given fractions.

GCF of 960,177 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 105,649

LCM of Fractions 105/960,649/177 is 22715

Given numbers has no common factors except 1. So, there LCM is their product i.e 68145

Least Common Multiple of 105,649 with GCF Formula

Least Common Multiple of 105,649 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 105,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,649) = 1

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

GCF(105,649) x common factors =1 x 1 = 1

LCM(105,649) = ( 105 × 649 ) / 1

LCM(105,649) = 68145 / 1

LCM(105,649) = 68145


Lets's calculate GCF of 960,177

3 960, 177
320, 59

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68145/3

Therefore the LCM of Fractions 105/960,649/177 is 22715

Greatest Common Factor of 960,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,177 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Greatest Common Factor

We found the factors 960,177 . The biggest common factor number is the GCF number.
So the greatest common factor 960,177 is 3.


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 105/960, 649/177

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 105/960, 649/177?

Answer: LCM of Numerators as per given numbers 105/960, 649/177 is

LCM of Numerators i.e. for 105,649 is 68145

GCF of denominators i.e. for 960,177 is 3.

Thus, LCM of Fractions is 22715.Finally, LCM of Fractions for 105/960, 649/177 is 22715.