Least Common Multiple of 68/532, 84/965, 638/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/532, 84/965, 638/592 quickly i.e. 455532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/532, 84/965, 638/592 is 455532.

LCM(68/532, 84/965, 638/592) = 455532

LCM of 68/532, 84/965, 638/592

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 68/532,84/965,638/592

Given numbers are 68/532,84/965,638/592

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 68,84,638

Least Common Multiple of Numerators i.e. LCM of 68,84,638 is 455532.

GCF of Denominators means GCF of 532,965,592 as per the given fractions.

GCF of 532,965,592 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,84,638

LCM of Fractions 68/532,84/965,638/592 is 455532

2 68, 84, 638
2 34, 42, 319
17, 21, 319

∴ So the LCM of the given numbers is 2 x 2 x 17 x 21 x 319 = 455532

Least Common Multiple of 68,84,638 with GCF Formula

Least Common Multiple of 68,84,638 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 68,84,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,84,638) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(68,84,638) x common factors =2 x 4 = 8

LCM(68,84,638) = ( 68 × 84 × 638 ) / 8

LCM(68,84,638) = 3644256 / 8

LCM(68,84,638) = 455532


Lets's calculate GCF of 532,965,592

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 455532/1

Therefore the LCM of Fractions 68/532,84/965,638/592 is 455532

Greatest Common Factor of 532,965,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,965,592 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 532,965,592 . The biggest common factor number is the GCF number.
So the greatest common factor 532,965,592 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 68/532, 84/965, 638/592

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 68/532, 84/965, 638/592?

Answer: LCM of Numerators as per given numbers 68/532, 84/965, 638/592 is

LCM of Numerators i.e. for 68,84,638 is 455532

GCF of denominators i.e. for 532,965,592 is 1.

Thus, LCM of Fractions is 455532.Finally, LCM of Fractions for 68/532, 84/965, 638/592 is 455532.