Least Common Multiple of 77/84, 74/38, 65/52, 613/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/84, 74/38, 65/52, 613/16 quickly i.e. 113518405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/84, 74/38, 65/52, 613/16 is 113518405.

LCM(77/84, 74/38, 65/52, 613/16) = 113518405

LCM of 77/84, 74/38, 65/52, 613/16

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 77/84,74/38,65/52,613/16

Given numbers are 77/84,74/38,65/52,613/16

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 77,74,65,613

Least Common Multiple of Numerators i.e. LCM of 77,74,65,613 is 227036810.

GCF of Denominators means GCF of 84,38,52,16 as per the given fractions.

GCF of 84,38,52,16 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,74,65,613

LCM of Fractions 77/84,74/38,65/52,613/16 is 113518405

Given numbers has no common factors except 1. So, there LCM is their product i.e 227036810

Least Common Multiple of 77,74,65,613 with GCF Formula

Least Common Multiple of 77,74,65,613 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 77,74,65,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,74,65,613) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(77,74,65,613) x common factors =1 x 1 = 1

LCM(77,74,65,613) = ( 77 × 74 × 65 × 613 ) / 1

LCM(77,74,65,613) = 227036810 / 1

LCM(77,74,65,613) = 227036810


Lets's calculate GCF of 84,38,52,16

2 84, 38, 52, 16
42, 19, 26, 8

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 227036810/2

Therefore the LCM of Fractions 77/84,74/38,65/52,613/16 is 113518405

Greatest Common Factor of 84,38,52,16 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,38,52,16 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Greatest Common Factor

We found the factors 84,38,52,16 . The biggest common factor number is the GCF number.
So the greatest common factor 84,38,52,16 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 77/84, 74/38, 65/52, 613/16

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 77/84, 74/38, 65/52, 613/16?

Answer: LCM of Numerators as per given numbers 77/84, 74/38, 65/52, 613/16 is

LCM of Numerators i.e. for 77,74,65,613 is 227036810

GCF of denominators i.e. for 84,38,52,16 is 2.

Thus, LCM of Fractions is 113518405.Finally, LCM of Fractions for 77/84, 74/38, 65/52, 613/16 is 113518405.