Least Common Multiple of 4634/727, 3780/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4634/727, 3780/448 quickly i.e. 1251180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4634/727, 3780/448 is 1251180.

LCM(4634/727, 3780/448) = 1251180

LCM of 4634/727, 3780/448

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 4634/727,3780/448

Given numbers are 4634/727,3780/448

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 4634,3780

Least Common Multiple of Numerators i.e. LCM of 4634,3780 is 1251180.

GCF of Denominators means GCF of 727,448 as per the given fractions.

GCF of 727,448 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4634,3780

LCM of Fractions 4634/727,3780/448 is 1251180

2 4634, 3780
7 2317, 1890
331, 270

∴ So the LCM of the given numbers is 2 x 7 x 331 x 270 = 1251180

Least Common Multiple of 4634,3780 with GCF Formula

Least Common Multiple of 4634,3780 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 4634,3780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4634,3780) = 14

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

GCF(4634,3780) x common factors =14 x 1 = 14

LCM(4634,3780) = ( 4634 × 3780 ) / 14

LCM(4634,3780) = 17516520 / 14

LCM(4634,3780) = 1251180


Lets's calculate GCF of 727,448

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1251180/1

Therefore the LCM of Fractions 4634/727,3780/448 is 1251180

Greatest Common Factor of 727,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,448 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 727,448 . The biggest common factor number is the GCF number.
So the greatest common factor 727,448 is 1.


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 4634/727, 3780/448

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 4634/727, 3780/448?

Answer: LCM of Numerators as per given numbers 4634/727, 3780/448 is

LCM of Numerators i.e. for 4634,3780 is 1251180

GCF of denominators i.e. for 727,448 is 1.

Thus, LCM of Fractions is 1251180.Finally, LCM of Fractions for 4634/727, 3780/448 is 1251180.