Least Common Multiple of 21/614, 33/962, 687/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/614, 33/962, 687/388 quickly i.e. 52899/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/614, 33/962, 687/388 is 52899/2.

LCM(21/614, 33/962, 687/388) = 52899/2

LCM of 21/614, 33/962, 687/388

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 21/614,33/962,687/388

Given numbers are 21/614,33/962,687/388

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 21,33,687

Least Common Multiple of Numerators i.e. LCM of 21,33,687 is 52899.

GCF of Denominators means GCF of 614,962,388 as per the given fractions.

GCF of 614,962,388 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,33,687

LCM of Fractions 21/614,33/962,687/388 is 52899/2

3 21, 33, 687
7, 11, 229

∴ So the LCM of the given numbers is 3 x 7 x 11 x 229 = 52899

Least Common Multiple of 21,33,687 with GCF Formula

Least Common Multiple of 21,33,687 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 21,33,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,33,687) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(21,33,687) x common factors =3 x 3 = 9

LCM(21,33,687) = ( 21 × 33 × 687 ) / 9

LCM(21,33,687) = 476091 / 9

LCM(21,33,687) = 52899


Lets's calculate GCF of 614,962,388

2 614, 962, 388
307, 481, 194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52899/2

Therefore the LCM of Fractions 21/614,33/962,687/388 is 52899/2

Greatest Common Factor of 614,962,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,962,388 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 614,962,388 . The biggest common factor number is the GCF number.
So the greatest common factor 614,962,388 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 21/614, 33/962, 687/388

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 21/614, 33/962, 687/388?

Answer: LCM of Numerators as per given numbers 21/614, 33/962, 687/388 is

LCM of Numerators i.e. for 21,33,687 is 52899

GCF of denominators i.e. for 614,962,388 is 2.

Thus, LCM of Fractions is 52899/2.Finally, LCM of Fractions for 21/614, 33/962, 687/388 is 52899/2.