Least Common Multiple of 4805/389, 1830/5955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4805/389, 1830/5955 quickly i.e. 1758630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4805/389, 1830/5955 is 1758630.

LCM(4805/389, 1830/5955) = 1758630

LCM of 4805/389, 1830/5955

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 4805/389,1830/5955

Given numbers are 4805/389,1830/5955

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 4805,1830

Least Common Multiple of Numerators i.e. LCM of 4805,1830 is 1758630.

GCF of Denominators means GCF of 389,5955 as per the given fractions.

GCF of 389,5955 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4805,1830

LCM of Fractions 4805/389,1830/5955 is 1758630

5 4805, 1830
961, 366

∴ So the LCM of the given numbers is 5 x 961 x 366 = 1758630

Least Common Multiple of 4805,1830 with GCF Formula

Least Common Multiple of 4805,1830 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 4805,1830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4805,1830) = 5

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

GCF(4805,1830) x common factors =5 x 1 = 5

LCM(4805,1830) = ( 4805 × 1830 ) / 5

LCM(4805,1830) = 8793150 / 5

LCM(4805,1830) = 1758630


Lets's calculate GCF of 389,5955

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1758630/1

Therefore the LCM of Fractions 4805/389,1830/5955 is 1758630

Greatest Common Factor of 389,5955 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,5955 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 5955

List of positive integer factors of 5955 that divides 5955 without a remainder.

1,3,5,15,397,1191,1985,5955

Greatest Common Factor

We found the factors 389,5955 . The biggest common factor number is the GCF number.
So the greatest common factor 389,5955 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4805/389, 1830/5955

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 4805/389, 1830/5955?

Answer: LCM of Numerators as per given numbers 4805/389, 1830/5955 is

LCM of Numerators i.e. for 4805,1830 is 1758630

GCF of denominators i.e. for 389,5955 is 1.

Thus, LCM of Fractions is 1758630.Finally, LCM of Fractions for 4805/389, 1830/5955 is 1758630.