Least Common Multiple of 614/21, 1982/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 614/21, 1982/990 quickly i.e. 608474/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 614/21, 1982/990 is 608474/3.

LCM(614/21, 1982/990) = 608474/3

LCM of 614/21, 1982/990

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 614/21,1982/990

Given numbers are 614/21,1982/990

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 614,1982

Least Common Multiple of Numerators i.e. LCM of 614,1982 is 608474.

GCF of Denominators means GCF of 21,990 as per the given fractions.

GCF of 21,990 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 614,1982

LCM of Fractions 614/21,1982/990 is 608474/3

2 614, 1982
307, 991

∴ So the LCM of the given numbers is 2 x 307 x 991 = 608474

Least Common Multiple of 614,1982 with GCF Formula

Least Common Multiple of 614,1982 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 614,1982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,1982) = 2

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

GCF(614,1982) x common factors =2 x 1 = 2

LCM(614,1982) = ( 614 × 1982 ) / 2

LCM(614,1982) = 1216948 / 2

LCM(614,1982) = 608474


Lets's calculate GCF of 21,990

3 21, 990
7, 330

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 608474/3

Therefore the LCM of Fractions 614/21,1982/990 is 608474/3

Greatest Common Factor of 21,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,990 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 21,990 . The biggest common factor number is the GCF number.
So the greatest common factor 21,990 is 3.


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 614/21, 1982/990

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 614/21, 1982/990?

Answer: LCM of Numerators as per given numbers 614/21, 1982/990 is

LCM of Numerators i.e. for 614,1982 is 608474

GCF of denominators i.e. for 21,990 is 3.

Thus, LCM of Fractions is 608474/3.Finally, LCM of Fractions for 614/21, 1982/990 is 608474/3.