Least Common Multiple of 8/960, 75/678, 65/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/960, 75/678, 65/921 quickly i.e. 2600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/960, 75/678, 65/921 is 2600.

LCM(8/960, 75/678, 65/921) = 2600

LCM of 8/960, 75/678, 65/921

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 8/960,75/678,65/921

Given numbers are 8/960,75/678,65/921

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 8,75,65

Least Common Multiple of Numerators i.e. LCM of 8,75,65 is 7800.

GCF of Denominators means GCF of 960,678,921 as per the given fractions.

GCF of 960,678,921 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,75,65

LCM of Fractions 8/960,75/678,65/921 is 2600

5 8, 75, 65
8, 15, 13

∴ So the LCM of the given numbers is 5 x 8 x 15 x 13 = 7800

Least Common Multiple of 8,75,65 with GCF Formula

Least Common Multiple of 8,75,65 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 8,75,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,75,65) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(8,75,65) x common factors =1 x 5 = 5

LCM(8,75,65) = ( 8 × 75 × 65 ) / 5

LCM(8,75,65) = 39000 / 5

LCM(8,75,65) = 7800


Lets's calculate GCF of 960,678,921

3 960, 678, 921
320, 226, 307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7800/3

Therefore the LCM of Fractions 8/960,75/678,65/921 is 2600

Greatest Common Factor of 960,678,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,678,921 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 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 960,678,921 . The biggest common factor number is the GCF number.
So the greatest common factor 960,678,921 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 8/960, 75/678, 65/921

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 8/960, 75/678, 65/921?

Answer: LCM of Numerators as per given numbers 8/960, 75/678, 65/921 is

LCM of Numerators i.e. for 8,75,65 is 7800

GCF of denominators i.e. for 960,678,921 is 3.

Thus, LCM of Fractions is 2600.Finally, LCM of Fractions for 8/960, 75/678, 65/921 is 2600.