Least Common Multiple of 65/456, 294/46, 780/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/456, 294/46, 780/396 quickly i.e. 19110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/456, 294/46, 780/396 is 19110.

LCM(65/456, 294/46, 780/396) = 19110

LCM of 65/456, 294/46, 780/396

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 65/456,294/46,780/396

Given numbers are 65/456,294/46,780/396

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 65,294,780

Least Common Multiple of Numerators i.e. LCM of 65,294,780 is 38220.

GCF of Denominators means GCF of 456,46,396 as per the given fractions.

GCF of 456,46,396 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,294,780

LCM of Fractions 65/456,294/46,780/396 is 19110

2 65, 294, 780
3 65, 147, 390
5 65, 49, 130
13 13, 49, 26
1, 49, 2

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 1 x 49 x 2 = 38220

Least Common Multiple of 65,294,780 with GCF Formula

Least Common Multiple of 65,294,780 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 65,294,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,294,780) = 1

common factors(in case of two or more numbers have common factors) = 390

GCF(65,294,780) x common factors =1 x 390 = 390

LCM(65,294,780) = ( 65 × 294 × 780 ) / 390

LCM(65,294,780) = 14905800 / 390

LCM(65,294,780) = 38220


Lets's calculate GCF of 456,46,396

2 456, 46, 396
228, 23, 198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38220/2

Therefore the LCM of Fractions 65/456,294/46,780/396 is 19110

Greatest Common Factor of 456,46,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,46,396 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 456,46,396 . The biggest common factor number is the GCF number.
So the greatest common factor 456,46,396 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 65/456, 294/46, 780/396

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 65/456, 294/46, 780/396?

Answer: LCM of Numerators as per given numbers 65/456, 294/46, 780/396 is

LCM of Numerators i.e. for 65,294,780 is 38220

GCF of denominators i.e. for 456,46,396 is 2.

Thus, LCM of Fractions is 19110.Finally, LCM of Fractions for 65/456, 294/46, 780/396 is 19110.