Least Common Multiple of 486/47, 5407/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 486/47, 5407/235 quickly i.e. 2627802/47 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 486/47, 5407/235 is 2627802/47.

LCM(486/47, 5407/235) = 2627802/47

LCM of 486/47, 5407/235

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 486/47,5407/235

Given numbers are 486/47,5407/235

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 486,5407

Least Common Multiple of Numerators i.e. LCM of 486,5407 is 2627802.

GCF of Denominators means GCF of 47,235 as per the given fractions.

GCF of 47,235 is 47 as it is the largest common factor for these numbers.

Lets's calculate LCM of 486,5407

LCM of Fractions 486/47,5407/235 is 2627802/47

Given numbers has no common factors except 1. So, there LCM is their product i.e 2627802

Least Common Multiple of 486,5407 with GCF Formula

Least Common Multiple of 486,5407 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 486,5407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,5407) = 1

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

GCF(486,5407) x common factors =1 x 1 = 1

LCM(486,5407) = ( 486 × 5407 ) / 1

LCM(486,5407) = 2627802 / 1

LCM(486,5407) = 2627802


Lets's calculate GCF of 47,235

47 47, 235
1, 5

∴ So the GCF of the given numbers is 47 = 47

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2627802/47

Therefore the LCM of Fractions 486/47,5407/235 is 2627802/47

Greatest Common Factor of 47,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,235 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 47,235 . The biggest common factor number is the GCF number.
So the greatest common factor 47,235 is 47.


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 486/47, 5407/235

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 486/47, 5407/235?

Answer: LCM of Numerators as per given numbers 486/47, 5407/235 is

LCM of Numerators i.e. for 486,5407 is 2627802

GCF of denominators i.e. for 47,235 is 47.

Thus, LCM of Fractions is 2627802/47.Finally, LCM of Fractions for 486/47, 5407/235 is 2627802/47.