Least Common Multiple of 76/150, 6981/9600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/150, 6981/9600 quickly i.e. 530556/150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/150, 6981/9600 is 530556/150.

LCM(76/150, 6981/9600) = 530556/150

LCM of 76/150, 6981/9600

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 76/150,6981/9600

Given numbers are 76/150,6981/9600

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 76,6981

Least Common Multiple of Numerators i.e. LCM of 76,6981 is 530556.

GCF of Denominators means GCF of 150,9600 as per the given fractions.

GCF of 150,9600 is 150 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,6981

LCM of Fractions 76/150,6981/9600 is 530556/150

Given numbers has no common factors except 1. So, there LCM is their product i.e 530556

Least Common Multiple of 76,6981 with GCF Formula

Least Common Multiple of 76,6981 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 76,6981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,6981) = 1

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

GCF(76,6981) x common factors =1 x 1 = 1

LCM(76,6981) = ( 76 × 6981 ) / 1

LCM(76,6981) = 530556 / 1

LCM(76,6981) = 530556


Lets's calculate GCF of 150,9600

2 150, 9600
3 75, 4800
5 25, 1600
5 5, 320
1, 64

∴ So the GCF of the given numbers is 2 x 3 x 5 x 5 = 150

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 530556/150

Therefore the LCM of Fractions 76/150,6981/9600 is 530556/150

Greatest Common Factor of 150,9600 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,9600 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 9600

List of positive integer factors of 9600 that divides 9600 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,128,150,160,192,200,240,300,320,384,400,480,600,640,800,960,1200,1600,1920,2400,3200,4800,9600

Greatest Common Factor

We found the factors 150,9600 . The biggest common factor number is the GCF number.
So the greatest common factor 150,9600 is 150.


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 76/150, 6981/9600

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 76/150, 6981/9600?

Answer: LCM of Numerators as per given numbers 76/150, 6981/9600 is

LCM of Numerators i.e. for 76,6981 is 530556

GCF of denominators i.e. for 150,9600 is 150.

Thus, LCM of Fractions is 530556/150.Finally, LCM of Fractions for 76/150, 6981/9600 is 530556/150.