Least Common Multiple of 769/303, 3576/4920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 769/303, 3576/4920 quickly i.e. 916648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 769/303, 3576/4920 is 916648.

LCM(769/303, 3576/4920) = 916648

LCM of 769/303, 3576/4920

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 769/303,3576/4920

Given numbers are 769/303,3576/4920

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 769,3576

Least Common Multiple of Numerators i.e. LCM of 769,3576 is 2749944.

GCF of Denominators means GCF of 303,4920 as per the given fractions.

GCF of 303,4920 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 769,3576

LCM of Fractions 769/303,3576/4920 is 916648

Given numbers has no common factors except 1. So, there LCM is their product i.e 2749944

Least Common Multiple of 769,3576 with GCF Formula

Least Common Multiple of 769,3576 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 769,3576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,3576) = 1

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

GCF(769,3576) x common factors =1 x 1 = 1

LCM(769,3576) = ( 769 × 3576 ) / 1

LCM(769,3576) = 2749944 / 1

LCM(769,3576) = 2749944


Lets's calculate GCF of 303,4920

3 303, 4920
101, 1640

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2749944/3

Therefore the LCM of Fractions 769/303,3576/4920 is 916648

Greatest Common Factor of 303,4920 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,4920 By Matching Biggest Common Factor Method

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 4920

List of positive integer factors of 4920 that divides 4920 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,41,60,82,120,123,164,205,246,328,410,492,615,820,984,1230,1640,2460,4920

Greatest Common Factor

We found the factors 303,4920 . The biggest common factor number is the GCF number.
So the greatest common factor 303,4920 is 3.


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 769/303, 3576/4920

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 769/303, 3576/4920?

Answer: LCM of Numerators as per given numbers 769/303, 3576/4920 is

LCM of Numerators i.e. for 769,3576 is 2749944

GCF of denominators i.e. for 303,4920 is 3.

Thus, LCM of Fractions is 916648.Finally, LCM of Fractions for 769/303, 3576/4920 is 916648.