Least Common Multiple of 6036/28, 5955/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6036/28, 5955/430 quickly i.e. 5990730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6036/28, 5955/430 is 5990730.

LCM(6036/28, 5955/430) = 5990730

LCM of 6036/28, 5955/430

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 6036/28,5955/430

Given numbers are 6036/28,5955/430

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 6036,5955

Least Common Multiple of Numerators i.e. LCM of 6036,5955 is 11981460.

GCF of Denominators means GCF of 28,430 as per the given fractions.

GCF of 28,430 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6036,5955

LCM of Fractions 6036/28,5955/430 is 5990730

3 6036, 5955
2012, 1985

∴ So the LCM of the given numbers is 3 x 2012 x 1985 = 11981460

Least Common Multiple of 6036,5955 with GCF Formula

Least Common Multiple of 6036,5955 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 6036,5955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6036,5955) = 3

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

GCF(6036,5955) x common factors =3 x 1 = 3

LCM(6036,5955) = ( 6036 × 5955 ) / 3

LCM(6036,5955) = 35944380 / 3

LCM(6036,5955) = 11981460


Lets's calculate GCF of 28,430

2 28, 430
14, 215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11981460/2

Therefore the LCM of Fractions 6036/28,5955/430 is 5990730

Greatest Common Factor of 28,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,430 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 28,430 . The biggest common factor number is the GCF number.
So the greatest common factor 28,430 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 6036/28, 5955/430

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 6036/28, 5955/430?

Answer: LCM of Numerators as per given numbers 6036/28, 5955/430 is

LCM of Numerators i.e. for 6036,5955 is 11981460

GCF of denominators i.e. for 28,430 is 2.

Thus, LCM of Fractions is 5990730.Finally, LCM of Fractions for 6036/28, 5955/430 is 5990730.