Least Common Multiple of 65/54, 36/70, 25/62, 96/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/54, 36/70, 25/62, 96/390 quickly i.e. 46800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/54, 36/70, 25/62, 96/390 is 46800.

LCM(65/54, 36/70, 25/62, 96/390) = 46800

LCM of 65/54, 36/70, 25/62, 96/390

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 65/54,36/70,25/62,96/390

Given numbers are 65/54,36/70,25/62,96/390

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 65,36,25,96

Least Common Multiple of Numerators i.e. LCM of 65,36,25,96 is 93600.

GCF of Denominators means GCF of 54,70,62,390 as per the given fractions.

GCF of 54,70,62,390 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,36,25,96

LCM of Fractions 65/54,36/70,25/62,96/390 is 46800

2 65, 36, 25, 96
2 65, 18, 25, 48
3 65, 9, 25, 24
5 65, 3, 25, 8
13, 3, 5, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 13 x 3 x 5 x 8 = 93600

Least Common Multiple of 65,36,25,96 with GCF Formula

Least Common Multiple of 65,36,25,96 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 65,36,25,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,36,25,96) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(65,36,25,96) x common factors =1 x 60 = 60

LCM(65,36,25,96) = ( 65 × 36 × 25 × 96 ) / 60

LCM(65,36,25,96) = 5616000 / 60

LCM(65,36,25,96) = 93600


Lets's calculate GCF of 54,70,62,390

2 54, 70, 62, 390
27, 35, 31, 195

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93600/2

Therefore the LCM of Fractions 65/54,36/70,25/62,96/390 is 46800

Greatest Common Factor of 54,70,62,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,70,62,390 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 54,70,62,390 . The biggest common factor number is the GCF number.
So the greatest common factor 54,70,62,390 is 2.


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 65/54, 36/70, 25/62, 96/390

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 65/54, 36/70, 25/62, 96/390?

Answer: LCM of Numerators as per given numbers 65/54, 36/70, 25/62, 96/390 is

LCM of Numerators i.e. for 65,36,25,96 is 93600

GCF of denominators i.e. for 54,70,62,390 is 2.

Thus, LCM of Fractions is 46800.Finally, LCM of Fractions for 65/54, 36/70, 25/62, 96/390 is 46800.