Least Common Multiple of 4696/440, 5532/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4696/440, 5532/306 quickly i.e. 3247284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4696/440, 5532/306 is 3247284.

LCM(4696/440, 5532/306) = 3247284

LCM of 4696/440, 5532/306

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 4696/440,5532/306

Given numbers are 4696/440,5532/306

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 4696,5532

Least Common Multiple of Numerators i.e. LCM of 4696,5532 is 6494568.

GCF of Denominators means GCF of 440,306 as per the given fractions.

GCF of 440,306 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4696,5532

LCM of Fractions 4696/440,5532/306 is 3247284

2 4696, 5532
2 2348, 2766
1174, 1383

∴ So the LCM of the given numbers is 2 x 2 x 1174 x 1383 = 6494568

Least Common Multiple of 4696,5532 with GCF Formula

Least Common Multiple of 4696,5532 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 4696,5532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4696,5532) = 4

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

GCF(4696,5532) x common factors =4 x 1 = 4

LCM(4696,5532) = ( 4696 × 5532 ) / 4

LCM(4696,5532) = 25978272 / 4

LCM(4696,5532) = 6494568


Lets's calculate GCF of 440,306

2 440, 306
220, 153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6494568/2

Therefore the LCM of Fractions 4696/440,5532/306 is 3247284

Greatest Common Factor of 440,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,306 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 440,306 . The biggest common factor number is the GCF number.
So the greatest common factor 440,306 is 2.


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 4696/440, 5532/306

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 4696/440, 5532/306?

Answer: LCM of Numerators as per given numbers 4696/440, 5532/306 is

LCM of Numerators i.e. for 4696,5532 is 6494568

GCF of denominators i.e. for 440,306 is 2.

Thus, LCM of Fractions is 3247284.Finally, LCM of Fractions for 4696/440, 5532/306 is 3247284.