Least Common Multiple of 462/40, 927/9055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 462/40, 927/9055 quickly i.e. 142758/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/40, 927/9055 is 142758/5.

LCM(462/40, 927/9055) = 142758/5

LCM of 462/40, 927/9055

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 462/40,927/9055

Given numbers are 462/40,927/9055

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 462,927

Least Common Multiple of Numerators i.e. LCM of 462,927 is 142758.

GCF of Denominators means GCF of 40,9055 as per the given fractions.

GCF of 40,9055 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,927

LCM of Fractions 462/40,927/9055 is 142758/5

3 462, 927
154, 309

∴ So the LCM of the given numbers is 3 x 154 x 309 = 142758

Least Common Multiple of 462,927 with GCF Formula

Least Common Multiple of 462,927 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 462,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,927) = 3

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

GCF(462,927) x common factors =3 x 1 = 3

LCM(462,927) = ( 462 × 927 ) / 3

LCM(462,927) = 428274 / 3

LCM(462,927) = 142758


Lets's calculate GCF of 40,9055

5 40, 9055
8, 1811

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142758/5

Therefore the LCM of Fractions 462/40,927/9055 is 142758/5

Greatest Common Factor of 40,9055 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,9055 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 9055

List of positive integer factors of 9055 that divides 9055 without a remainder.

1,5,1811,9055

Greatest Common Factor

We found the factors 40,9055 . The biggest common factor number is the GCF number.
So the greatest common factor 40,9055 is 5.


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 462/40, 927/9055

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 462/40, 927/9055?

Answer: LCM of Numerators as per given numbers 462/40, 927/9055 is

LCM of Numerators i.e. for 462,927 is 142758

GCF of denominators i.e. for 40,9055 is 5.

Thus, LCM of Fractions is 142758/5.Finally, LCM of Fractions for 462/40, 927/9055 is 142758/5.