Least Common Multiple of 4984/660, 9796/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4984/660, 9796/869 quickly i.e. 12205816/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4984/660, 9796/869 is 12205816/11.

LCM(4984/660, 9796/869) = 12205816/11

LCM of 4984/660, 9796/869

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 4984/660,9796/869

Given numbers are 4984/660,9796/869

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 4984,9796

Least Common Multiple of Numerators i.e. LCM of 4984,9796 is 12205816.

GCF of Denominators means GCF of 660,869 as per the given fractions.

GCF of 660,869 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4984,9796

LCM of Fractions 4984/660,9796/869 is 12205816/11

2 4984, 9796
2 2492, 4898
1246, 2449

∴ So the LCM of the given numbers is 2 x 2 x 1246 x 2449 = 12205816

Least Common Multiple of 4984,9796 with GCF Formula

Least Common Multiple of 4984,9796 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 4984,9796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4984,9796) = 4

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

GCF(4984,9796) x common factors =4 x 1 = 4

LCM(4984,9796) = ( 4984 × 9796 ) / 4

LCM(4984,9796) = 48823264 / 4

LCM(4984,9796) = 12205816


Lets's calculate GCF of 660,869

11 660, 869
60, 79

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12205816/11

Therefore the LCM of Fractions 4984/660,9796/869 is 12205816/11

Greatest Common Factor of 660,869 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,869 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Greatest Common Factor

We found the factors 660,869 . The biggest common factor number is the GCF number.
So the greatest common factor 660,869 is 11.


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 4984/660, 9796/869

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 4984/660, 9796/869?

Answer: LCM of Numerators as per given numbers 4984/660, 9796/869 is

LCM of Numerators i.e. for 4984,9796 is 12205816

GCF of denominators i.e. for 660,869 is 11.

Thus, LCM of Fractions is 12205816/11.Finally, LCM of Fractions for 4984/660, 9796/869 is 12205816/11.