Least Common Multiple of 96/770, 5109/4278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/770, 5109/4278 quickly i.e. 81744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/770, 5109/4278 is 81744.

LCM(96/770, 5109/4278) = 81744

LCM of 96/770, 5109/4278

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 96/770,5109/4278

Given numbers are 96/770,5109/4278

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 96,5109

Least Common Multiple of Numerators i.e. LCM of 96,5109 is 163488.

GCF of Denominators means GCF of 770,4278 as per the given fractions.

GCF of 770,4278 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,5109

LCM of Fractions 96/770,5109/4278 is 81744

3 96, 5109
32, 1703

∴ So the LCM of the given numbers is 3 x 32 x 1703 = 163488

Least Common Multiple of 96,5109 with GCF Formula

Least Common Multiple of 96,5109 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 96,5109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,5109) = 3

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

GCF(96,5109) x common factors =3 x 1 = 3

LCM(96,5109) = ( 96 × 5109 ) / 3

LCM(96,5109) = 490464 / 3

LCM(96,5109) = 163488


Lets's calculate GCF of 770,4278

2 770, 4278
385, 2139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163488/2

Therefore the LCM of Fractions 96/770,5109/4278 is 81744

Greatest Common Factor of 770,4278 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,4278 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 4278

List of positive integer factors of 4278 that divides 4278 without a remainder.

1,2,3,6,23,31,46,62,69,93,138,186,713,1426,2139,4278

Greatest Common Factor

We found the factors 770,4278 . The biggest common factor number is the GCF number.
So the greatest common factor 770,4278 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 96/770, 5109/4278

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 96/770, 5109/4278?

Answer: LCM of Numerators as per given numbers 96/770, 5109/4278 is

LCM of Numerators i.e. for 96,5109 is 163488

GCF of denominators i.e. for 770,4278 is 2.

Thus, LCM of Fractions is 81744.Finally, LCM of Fractions for 96/770, 5109/4278 is 81744.