Least Common Multiple of 330/49, 762/4983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 330/49, 762/4983 quickly i.e. 41910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 330/49, 762/4983 is 41910.

LCM(330/49, 762/4983) = 41910

LCM of 330/49, 762/4983

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 330/49,762/4983

Given numbers are 330/49,762/4983

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 330,762

Least Common Multiple of Numerators i.e. LCM of 330,762 is 41910.

GCF of Denominators means GCF of 49,4983 as per the given fractions.

GCF of 49,4983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 330,762

LCM of Fractions 330/49,762/4983 is 41910

2 330, 762
3 165, 381
55, 127

∴ So the LCM of the given numbers is 2 x 3 x 55 x 127 = 41910

Least Common Multiple of 330,762 with GCF Formula

Least Common Multiple of 330,762 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 330,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,762) = 6

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

GCF(330,762) x common factors =6 x 1 = 6

LCM(330,762) = ( 330 × 762 ) / 6

LCM(330,762) = 251460 / 6

LCM(330,762) = 41910


Lets's calculate GCF of 49,4983

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41910/1

Therefore the LCM of Fractions 330/49,762/4983 is 41910

Greatest Common Factor of 49,4983 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,4983 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 4983

List of positive integer factors of 4983 that divides 4983 without a remainder.

1,3,11,33,151,453,1661,4983

Greatest Common Factor

We found the factors 49,4983 . The biggest common factor number is the GCF number.
So the greatest common factor 49,4983 is 1.


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 330/49, 762/4983

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 330/49, 762/4983?

Answer: LCM of Numerators as per given numbers 330/49, 762/4983 is

LCM of Numerators i.e. for 330,762 is 41910

GCF of denominators i.e. for 49,4983 is 1.

Thus, LCM of Fractions is 41910.Finally, LCM of Fractions for 330/49, 762/4983 is 41910.