Least Common Multiple of 3464/732, 5618/1448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3464/732, 5618/1448 quickly i.e. 2432594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3464/732, 5618/1448 is 2432594.

LCM(3464/732, 5618/1448) = 2432594

LCM of 3464/732, 5618/1448

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 3464/732,5618/1448

Given numbers are 3464/732,5618/1448

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 3464,5618

Least Common Multiple of Numerators i.e. LCM of 3464,5618 is 9730376.

GCF of Denominators means GCF of 732,1448 as per the given fractions.

GCF of 732,1448 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3464,5618

LCM of Fractions 3464/732,5618/1448 is 2432594

2 3464, 5618
1732, 2809

∴ So the LCM of the given numbers is 2 x 1732 x 2809 = 9730376

Least Common Multiple of 3464,5618 with GCF Formula

Least Common Multiple of 3464,5618 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 3464,5618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3464,5618) = 2

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

GCF(3464,5618) x common factors =2 x 1 = 2

LCM(3464,5618) = ( 3464 × 5618 ) / 2

LCM(3464,5618) = 19460752 / 2

LCM(3464,5618) = 9730376


Lets's calculate GCF of 732,1448

2 732, 1448
2 366, 724
183, 362

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9730376/4

Therefore the LCM of Fractions 3464/732,5618/1448 is 2432594

Greatest Common Factor of 732,1448 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,1448 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 1448

List of positive integer factors of 1448 that divides 1448 without a remainder.

1,2,4,8,181,362,724,1448

Greatest Common Factor

We found the factors 732,1448 . The biggest common factor number is the GCF number.
So the greatest common factor 732,1448 is 4.


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 3464/732, 5618/1448

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 3464/732, 5618/1448?

Answer: LCM of Numerators as per given numbers 3464/732, 5618/1448 is

LCM of Numerators i.e. for 3464,5618 is 9730376

GCF of denominators i.e. for 732,1448 is 4.

Thus, LCM of Fractions is 2432594.Finally, LCM of Fractions for 3464/732, 5618/1448 is 2432594.