Least Common Multiple of 791/490, 3054/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 791/490, 3054/333 quickly i.e. 2415714 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 791/490, 3054/333 is 2415714.

LCM(791/490, 3054/333) = 2415714

LCM of 791/490, 3054/333

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 791/490,3054/333

Given numbers are 791/490,3054/333

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 791,3054

Least Common Multiple of Numerators i.e. LCM of 791,3054 is 2415714.

GCF of Denominators means GCF of 490,333 as per the given fractions.

GCF of 490,333 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 791,3054

LCM of Fractions 791/490,3054/333 is 2415714

Given numbers has no common factors except 1. So, there LCM is their product i.e 2415714

Least Common Multiple of 791,3054 with GCF Formula

Least Common Multiple of 791,3054 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 791,3054 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(791,3054) = 1

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

GCF(791,3054) x common factors =1 x 1 = 1

LCM(791,3054) = ( 791 × 3054 ) / 1

LCM(791,3054) = 2415714 / 1

LCM(791,3054) = 2415714


Lets's calculate GCF of 490,333

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2415714/1

Therefore the LCM of Fractions 791/490,3054/333 is 2415714

Greatest Common Factor of 490,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,333 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 490,333 . The biggest common factor number is the GCF number.
So the greatest common factor 490,333 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 791/490, 3054/333

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 791/490, 3054/333?

Answer: LCM of Numerators as per given numbers 791/490, 3054/333 is

LCM of Numerators i.e. for 791,3054 is 2415714

GCF of denominators i.e. for 490,333 is 1.

Thus, LCM of Fractions is 2415714.Finally, LCM of Fractions for 791/490, 3054/333 is 2415714.