Least Common Multiple of 84/68, 74/53, 768/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/68, 74/53, 768/626 quickly i.e. 198912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/68, 74/53, 768/626 is 198912.

LCM(84/68, 74/53, 768/626) = 198912

LCM of 84/68, 74/53, 768/626

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 84/68,74/53,768/626

Given numbers are 84/68,74/53,768/626

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 84,74,768

Least Common Multiple of Numerators i.e. LCM of 84,74,768 is 198912.

GCF of Denominators means GCF of 68,53,626 as per the given fractions.

GCF of 68,53,626 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,74,768

LCM of Fractions 84/68,74/53,768/626 is 198912

2 84, 74, 768
2 42, 37, 384
3 21, 37, 192
7, 37, 64

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 37 x 64 = 198912

Least Common Multiple of 84,74,768 with GCF Formula

Least Common Multiple of 84,74,768 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 84,74,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,74,768) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(84,74,768) x common factors =2 x 12 = 24

LCM(84,74,768) = ( 84 × 74 × 768 ) / 24

LCM(84,74,768) = 4773888 / 24

LCM(84,74,768) = 198912


Lets's calculate GCF of 68,53,626

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198912/1

Therefore the LCM of Fractions 84/68,74/53,768/626 is 198912

Greatest Common Factor of 68,53,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,53,626 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 68,53,626 . The biggest common factor number is the GCF number.
So the greatest common factor 68,53,626 is 1.


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 84/68, 74/53, 768/626

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 84/68, 74/53, 768/626?

Answer: LCM of Numerators as per given numbers 84/68, 74/53, 768/626 is

LCM of Numerators i.e. for 84,74,768 is 198912

GCF of denominators i.e. for 68,53,626 is 1.

Thus, LCM of Fractions is 198912.Finally, LCM of Fractions for 84/68, 74/53, 768/626 is 198912.