Least Common Multiple of 65/42, 40/36, 30/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/42, 40/36, 30/554 quickly i.e. 780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/42, 40/36, 30/554 is 780.

LCM(65/42, 40/36, 30/554) = 780

LCM of 65/42, 40/36, 30/554

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 65/42,40/36,30/554

Given numbers are 65/42,40/36,30/554

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 65,40,30

Least Common Multiple of Numerators i.e. LCM of 65,40,30 is 1560.

GCF of Denominators means GCF of 42,36,554 as per the given fractions.

GCF of 42,36,554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,40,30

LCM of Fractions 65/42,40/36,30/554 is 780

2 65, 40, 30
5 65, 20, 15
13, 4, 3

∴ So the LCM of the given numbers is 2 x 5 x 13 x 4 x 3 = 1560

Least Common Multiple of 65,40,30 with GCF Formula

Least Common Multiple of 65,40,30 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 65,40,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,40,30) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(65,40,30) x common factors =5 x 10 = 50

LCM(65,40,30) = ( 65 × 40 × 30 ) / 50

LCM(65,40,30) = 78000 / 50

LCM(65,40,30) = 1560


Lets's calculate GCF of 42,36,554

2 42, 36, 554
21, 18, 277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1560/2

Therefore the LCM of Fractions 65/42,40/36,30/554 is 780

Greatest Common Factor of 42,36,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,36,554 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 42,36,554 . The biggest common factor number is the GCF number.
So the greatest common factor 42,36,554 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 65/42, 40/36, 30/554

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 65/42, 40/36, 30/554?

Answer: LCM of Numerators as per given numbers 65/42, 40/36, 30/554 is

LCM of Numerators i.e. for 65,40,30 is 1560

GCF of denominators i.e. for 42,36,554 is 2.

Thus, LCM of Fractions is 780.Finally, LCM of Fractions for 65/42, 40/36, 30/554 is 780.