Least Common Multiple of 65/50, 78/70, 336/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/50, 78/70, 336/915 quickly i.e. 4368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/50, 78/70, 336/915 is 4368.

LCM(65/50, 78/70, 336/915) = 4368

LCM of 65/50, 78/70, 336/915

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 65/50,78/70,336/915

Given numbers are 65/50,78/70,336/915

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 65,78,336

Least Common Multiple of Numerators i.e. LCM of 65,78,336 is 21840.

GCF of Denominators means GCF of 50,70,915 as per the given fractions.

GCF of 50,70,915 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,78,336

LCM of Fractions 65/50,78/70,336/915 is 4368

2 65, 78, 336
3 65, 39, 168
13 65, 13, 56
5, 1, 56

∴ So the LCM of the given numbers is 2 x 3 x 13 x 5 x 1 x 56 = 21840

Least Common Multiple of 65,78,336 with GCF Formula

Least Common Multiple of 65,78,336 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 65,78,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,78,336) = 1

common factors(in case of two or more numbers have common factors) = 78

GCF(65,78,336) x common factors =1 x 78 = 78

LCM(65,78,336) = ( 65 × 78 × 336 ) / 78

LCM(65,78,336) = 1703520 / 78

LCM(65,78,336) = 21840


Lets's calculate GCF of 50,70,915

5 50, 70, 915
10, 14, 183

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21840/5

Therefore the LCM of Fractions 65/50,78/70,336/915 is 4368

Greatest Common Factor of 50,70,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,70,915 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

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 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 50,70,915 . The biggest common factor number is the GCF number.
So the greatest common factor 50,70,915 is 5.


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 65/50, 78/70, 336/915

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 65/50, 78/70, 336/915?

Answer: LCM of Numerators as per given numbers 65/50, 78/70, 336/915 is

LCM of Numerators i.e. for 65,78,336 is 21840

GCF of denominators i.e. for 50,70,915 is 5.

Thus, LCM of Fractions is 4368.Finally, LCM of Fractions for 65/50, 78/70, 336/915 is 4368.