Least Common Multiple of 9414/96, 6762/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9414/96, 6762/110 quickly i.e. 5304789 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9414/96, 6762/110 is 5304789.

LCM(9414/96, 6762/110) = 5304789

LCM of 9414/96, 6762/110

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 9414/96,6762/110

Given numbers are 9414/96,6762/110

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 9414,6762

Least Common Multiple of Numerators i.e. LCM of 9414,6762 is 10609578.

GCF of Denominators means GCF of 96,110 as per the given fractions.

GCF of 96,110 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9414,6762

LCM of Fractions 9414/96,6762/110 is 5304789

2 9414, 6762
3 4707, 3381
1569, 1127

∴ So the LCM of the given numbers is 2 x 3 x 1569 x 1127 = 10609578

Least Common Multiple of 9414,6762 with GCF Formula

Least Common Multiple of 9414,6762 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 9414,6762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9414,6762) = 6

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

GCF(9414,6762) x common factors =6 x 1 = 6

LCM(9414,6762) = ( 9414 × 6762 ) / 6

LCM(9414,6762) = 63657468 / 6

LCM(9414,6762) = 10609578


Lets's calculate GCF of 96,110

2 96, 110
48, 55

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10609578/2

Therefore the LCM of Fractions 9414/96,6762/110 is 5304789

Greatest Common Factor of 96,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,110 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 96,110 . The biggest common factor number is the GCF number.
So the greatest common factor 96,110 is 2.


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 9414/96, 6762/110

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 9414/96, 6762/110?

Answer: LCM of Numerators as per given numbers 9414/96, 6762/110 is

LCM of Numerators i.e. for 9414,6762 is 10609578

GCF of denominators i.e. for 96,110 is 2.

Thus, LCM of Fractions is 5304789.Finally, LCM of Fractions for 9414/96, 6762/110 is 5304789.