Least Common Multiple of 68/490, 8372/8981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/490, 8372/8981 quickly i.e. 20332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/490, 8372/8981 is 20332.

LCM(68/490, 8372/8981) = 20332

LCM of 68/490, 8372/8981

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 68/490,8372/8981

Given numbers are 68/490,8372/8981

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 68,8372

Least Common Multiple of Numerators i.e. LCM of 68,8372 is 142324.

GCF of Denominators means GCF of 490,8981 as per the given fractions.

GCF of 490,8981 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,8372

LCM of Fractions 68/490,8372/8981 is 20332

2 68, 8372
2 34, 4186
17, 2093

∴ So the LCM of the given numbers is 2 x 2 x 17 x 2093 = 142324

Least Common Multiple of 68,8372 with GCF Formula

Least Common Multiple of 68,8372 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 68,8372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,8372) = 4

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

GCF(68,8372) x common factors =4 x 1 = 4

LCM(68,8372) = ( 68 × 8372 ) / 4

LCM(68,8372) = 569296 / 4

LCM(68,8372) = 142324


Lets's calculate GCF of 490,8981

7 490, 8981
70, 1283

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142324/7

Therefore the LCM of Fractions 68/490,8372/8981 is 20332

Greatest Common Factor of 490,8981 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,8981 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 8981

List of positive integer factors of 8981 that divides 8981 without a remainder.

1,7,1283,8981

Greatest Common Factor

We found the factors 490,8981 . The biggest common factor number is the GCF number.
So the greatest common factor 490,8981 is 7.


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 68/490, 8372/8981

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 68/490, 8372/8981?

Answer: LCM of Numerators as per given numbers 68/490, 8372/8981 is

LCM of Numerators i.e. for 68,8372 is 142324

GCF of denominators i.e. for 490,8981 is 7.

Thus, LCM of Fractions is 20332.Finally, LCM of Fractions for 68/490, 8372/8981 is 20332.