Least Common Multiple of 7434/780, 9978/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7434/780, 9978/180 quickly i.e. 12362742/60 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7434/780, 9978/180 is 12362742/60.

LCM(7434/780, 9978/180) = 12362742/60

LCM of 7434/780, 9978/180

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 7434/780,9978/180

Given numbers are 7434/780,9978/180

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 7434,9978

Least Common Multiple of Numerators i.e. LCM of 7434,9978 is 12362742.

GCF of Denominators means GCF of 780,180 as per the given fractions.

GCF of 780,180 is 60 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7434,9978

LCM of Fractions 7434/780,9978/180 is 12362742/60

2 7434, 9978
3 3717, 4989
1239, 1663

∴ So the LCM of the given numbers is 2 x 3 x 1239 x 1663 = 12362742

Least Common Multiple of 7434,9978 with GCF Formula

Least Common Multiple of 7434,9978 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 7434,9978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7434,9978) = 6

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

GCF(7434,9978) x common factors =6 x 1 = 6

LCM(7434,9978) = ( 7434 × 9978 ) / 6

LCM(7434,9978) = 74176452 / 6

LCM(7434,9978) = 12362742


Lets's calculate GCF of 780,180

2 780, 180
2 390, 90
3 195, 45
5 65, 15
13, 3

∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12362742/60

Therefore the LCM of Fractions 7434/780,9978/180 is 12362742/60

Greatest Common Factor of 780,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,180 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 780,180 . The biggest common factor number is the GCF number.
So the greatest common factor 780,180 is 60.


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 7434/780, 9978/180

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 7434/780, 9978/180?

Answer: LCM of Numerators as per given numbers 7434/780, 9978/180 is

LCM of Numerators i.e. for 7434,9978 is 12362742

GCF of denominators i.e. for 780,180 is 60.

Thus, LCM of Fractions is 12362742/60.Finally, LCM of Fractions for 7434/780, 9978/180 is 12362742/60.