Least Common Multiple of 3/312, 75/717, 65/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/312, 75/717, 65/395 quickly i.e. 975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/312, 75/717, 65/395 is 975.

LCM(3/312, 75/717, 65/395) = 975

LCM of 3/312, 75/717, 65/395

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 3/312,75/717,65/395

Given numbers are 3/312,75/717,65/395

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 3,75,65

Least Common Multiple of Numerators i.e. LCM of 3,75,65 is 975.

GCF of Denominators means GCF of 312,717,395 as per the given fractions.

GCF of 312,717,395 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,75,65

LCM of Fractions 3/312,75/717,65/395 is 975

3 3, 75, 65
5 1, 25, 65
1, 5, 13

∴ So the LCM of the given numbers is 3 x 5 x 1 x 5 x 13 = 975

Least Common Multiple of 3,75,65 with GCF Formula

Least Common Multiple of 3,75,65 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 3,75,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,75,65) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(3,75,65) x common factors =1 x 15 = 15

LCM(3,75,65) = ( 3 × 75 × 65 ) / 15

LCM(3,75,65) = 14625 / 15

LCM(3,75,65) = 975


Lets's calculate GCF of 312,717,395

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 975/1

Therefore the LCM of Fractions 3/312,75/717,65/395 is 975

Greatest Common Factor of 312,717,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,717,395 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Greatest Common Factor

We found the factors 312,717,395 . The biggest common factor number is the GCF number.
So the greatest common factor 312,717,395 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 3/312, 75/717, 65/395

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 3/312, 75/717, 65/395?

Answer: LCM of Numerators as per given numbers 3/312, 75/717, 65/395 is

LCM of Numerators i.e. for 3,75,65 is 975

GCF of denominators i.e. for 312,717,395 is 1.

Thus, LCM of Fractions is 975.Finally, LCM of Fractions for 3/312, 75/717, 65/395 is 975.