Least Common Multiple of 396/336, 4520/6962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 396/336, 4520/6962 quickly i.e. 223740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 396/336, 4520/6962 is 223740.

LCM(396/336, 4520/6962) = 223740

LCM of 396/336, 4520/6962

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 396/336,4520/6962

Given numbers are 396/336,4520/6962

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 396,4520

Least Common Multiple of Numerators i.e. LCM of 396,4520 is 447480.

GCF of Denominators means GCF of 336,6962 as per the given fractions.

GCF of 336,6962 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 396,4520

LCM of Fractions 396/336,4520/6962 is 223740

2 396, 4520
2 198, 2260
99, 1130

∴ So the LCM of the given numbers is 2 x 2 x 99 x 1130 = 447480

Least Common Multiple of 396,4520 with GCF Formula

Least Common Multiple of 396,4520 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 396,4520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,4520) = 4

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

GCF(396,4520) x common factors =4 x 1 = 4

LCM(396,4520) = ( 396 × 4520 ) / 4

LCM(396,4520) = 1789920 / 4

LCM(396,4520) = 447480


Lets's calculate GCF of 336,6962

2 336, 6962
168, 3481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 447480/2

Therefore the LCM of Fractions 396/336,4520/6962 is 223740

Greatest Common Factor of 336,6962 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,6962 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 6962

List of positive integer factors of 6962 that divides 6962 without a remainder.

1,2,59,118,3481,6962

Greatest Common Factor

We found the factors 336,6962 . The biggest common factor number is the GCF number.
So the greatest common factor 336,6962 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 396/336, 4520/6962

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 396/336, 4520/6962?

Answer: LCM of Numerators as per given numbers 396/336, 4520/6962 is

LCM of Numerators i.e. for 396,4520 is 447480

GCF of denominators i.e. for 336,6962 is 2.

Thus, LCM of Fractions is 223740.Finally, LCM of Fractions for 396/336, 4520/6962 is 223740.