Least Common Multiple of 542/64, 822/63, 706/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 542/64, 822/63, 706/693 quickly i.e. 78634986 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/64, 822/63, 706/693 is 78634986.

LCM(542/64, 822/63, 706/693) = 78634986

LCM of 542/64, 822/63, 706/693

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 542/64,822/63,706/693

Given numbers are 542/64,822/63,706/693

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 542,822,706

Least Common Multiple of Numerators i.e. LCM of 542,822,706 is 78634986.

GCF of Denominators means GCF of 64,63,693 as per the given fractions.

GCF of 64,63,693 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,822,706

LCM of Fractions 542/64,822/63,706/693 is 78634986

2 542, 822, 706
271, 411, 353

∴ So the LCM of the given numbers is 2 x 271 x 411 x 353 = 78634986

Least Common Multiple of 542,822,706 with GCF Formula

Least Common Multiple of 542,822,706 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 542,822,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,822,706) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(542,822,706) x common factors =2 x 2 = 4

LCM(542,822,706) = ( 542 × 822 × 706 ) / 4

LCM(542,822,706) = 314539944 / 4

LCM(542,822,706) = 78634986


Lets's calculate GCF of 64,63,693

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78634986/1

Therefore the LCM of Fractions 542/64,822/63,706/693 is 78634986

Greatest Common Factor of 64,63,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,63,693 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 64,63,693 . The biggest common factor number is the GCF number.
So the greatest common factor 64,63,693 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 542/64, 822/63, 706/693

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 542/64, 822/63, 706/693?

Answer: LCM of Numerators as per given numbers 542/64, 822/63, 706/693 is

LCM of Numerators i.e. for 542,822,706 is 78634986

GCF of denominators i.e. for 64,63,693 is 1.

Thus, LCM of Fractions is 78634986.Finally, LCM of Fractions for 542/64, 822/63, 706/693 is 78634986.