Least Common Multiple of 80/774, 7344/9852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 80/774, 7344/9852 quickly i.e. 6120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/774, 7344/9852 is 6120.

LCM(80/774, 7344/9852) = 6120

LCM of 80/774, 7344/9852

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 80/774,7344/9852

Given numbers are 80/774,7344/9852

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 80,7344

Least Common Multiple of Numerators i.e. LCM of 80,7344 is 36720.

GCF of Denominators means GCF of 774,9852 as per the given fractions.

GCF of 774,9852 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,7344

LCM of Fractions 80/774,7344/9852 is 6120

2 80, 7344
2 40, 3672
2 20, 1836
2 10, 918
5, 459

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 459 = 36720

Least Common Multiple of 80,7344 with GCF Formula

Least Common Multiple of 80,7344 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 80,7344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,7344) = 16

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

GCF(80,7344) x common factors =16 x 1 = 16

LCM(80,7344) = ( 80 × 7344 ) / 16

LCM(80,7344) = 587520 / 16

LCM(80,7344) = 36720


Lets's calculate GCF of 774,9852

2 774, 9852
3 387, 4926
129, 1642

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36720/6

Therefore the LCM of Fractions 80/774,7344/9852 is 6120

Greatest Common Factor of 774,9852 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,9852 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 9852

List of positive integer factors of 9852 that divides 9852 without a remainder.

1,2,3,4,6,12,821,1642,2463,3284,4926,9852

Greatest Common Factor

We found the factors 774,9852 . The biggest common factor number is the GCF number.
So the greatest common factor 774,9852 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 80/774, 7344/9852

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 80/774, 7344/9852?

Answer: LCM of Numerators as per given numbers 80/774, 7344/9852 is

LCM of Numerators i.e. for 80,7344 is 36720

GCF of denominators i.e. for 774,9852 is 6.

Thus, LCM of Fractions is 6120.Finally, LCM of Fractions for 80/774, 7344/9852 is 6120.