Least Common Multiple of 648/980, 5169/9760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 648/980, 5169/9760 quickly i.e. 1116504/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 648/980, 5169/9760 is 1116504/20.

LCM(648/980, 5169/9760) = 1116504/20

LCM of 648/980, 5169/9760

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 648/980,5169/9760

Given numbers are 648/980,5169/9760

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 648,5169

Least Common Multiple of Numerators i.e. LCM of 648,5169 is 1116504.

GCF of Denominators means GCF of 980,9760 as per the given fractions.

GCF of 980,9760 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 648,5169

LCM of Fractions 648/980,5169/9760 is 1116504/20

3 648, 5169
216, 1723

∴ So the LCM of the given numbers is 3 x 216 x 1723 = 1116504

Least Common Multiple of 648,5169 with GCF Formula

Least Common Multiple of 648,5169 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 648,5169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,5169) = 3

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

GCF(648,5169) x common factors =3 x 1 = 3

LCM(648,5169) = ( 648 × 5169 ) / 3

LCM(648,5169) = 3349512 / 3

LCM(648,5169) = 1116504


Lets's calculate GCF of 980,9760

2 980, 9760
2 490, 4880
5 245, 2440
49, 488

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1116504/20

Therefore the LCM of Fractions 648/980,5169/9760 is 1116504/20

Greatest Common Factor of 980,9760 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,9760 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 9760

List of positive integer factors of 9760 that divides 9760 without a remainder.

1,2,4,5,8,10,16,20,32,40,61,80,122,160,244,305,488,610,976,1220,1952,2440,4880,9760

Greatest Common Factor

We found the factors 980,9760 . The biggest common factor number is the GCF number.
So the greatest common factor 980,9760 is 20.


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 648/980, 5169/9760

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 648/980, 5169/9760?

Answer: LCM of Numerators as per given numbers 648/980, 5169/9760 is

LCM of Numerators i.e. for 648,5169 is 1116504

GCF of denominators i.e. for 980,9760 is 20.

Thus, LCM of Fractions is 1116504/20.Finally, LCM of Fractions for 648/980, 5169/9760 is 1116504/20.