Least Common Multiple of 5970/846, 3303/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5970/846, 3303/718 quickly i.e. 3286485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5970/846, 3303/718 is 3286485.

LCM(5970/846, 3303/718) = 3286485

LCM of 5970/846, 3303/718

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 5970/846,3303/718

Given numbers are 5970/846,3303/718

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 5970,3303

Least Common Multiple of Numerators i.e. LCM of 5970,3303 is 6572970.

GCF of Denominators means GCF of 846,718 as per the given fractions.

GCF of 846,718 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5970,3303

LCM of Fractions 5970/846,3303/718 is 3286485

3 5970, 3303
1990, 1101

∴ So the LCM of the given numbers is 3 x 1990 x 1101 = 6572970

Least Common Multiple of 5970,3303 with GCF Formula

Least Common Multiple of 5970,3303 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 5970,3303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5970,3303) = 3

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

GCF(5970,3303) x common factors =3 x 1 = 3

LCM(5970,3303) = ( 5970 × 3303 ) / 3

LCM(5970,3303) = 19718910 / 3

LCM(5970,3303) = 6572970


Lets's calculate GCF of 846,718

2 846, 718
423, 359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6572970/2

Therefore the LCM of Fractions 5970/846,3303/718 is 3286485

Greatest Common Factor of 846,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,718 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 846,718 . The biggest common factor number is the GCF number.
So the greatest common factor 846,718 is 2.


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 5970/846, 3303/718

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 5970/846, 3303/718?

Answer: LCM of Numerators as per given numbers 5970/846, 3303/718 is

LCM of Numerators i.e. for 5970,3303 is 6572970

GCF of denominators i.e. for 846,718 is 2.

Thus, LCM of Fractions is 3286485.Finally, LCM of Fractions for 5970/846, 3303/718 is 3286485.