Least Common Multiple of 15/45, 49/56, 71/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/45, 49/56, 71/427 quickly i.e. 52185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/45, 49/56, 71/427 is 52185.

LCM(15/45, 49/56, 71/427) = 52185

LCM of 15/45, 49/56, 71/427

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 15/45,49/56,71/427

Given numbers are 15/45,49/56,71/427

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 15,49,71

Least Common Multiple of Numerators i.e. LCM of 15,49,71 is 52185.

GCF of Denominators means GCF of 45,56,427 as per the given fractions.

GCF of 45,56,427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,49,71

LCM of Fractions 15/45,49/56,71/427 is 52185

Given numbers has no common factors except 1. So, there LCM is their product i.e 52185

Least Common Multiple of 15,49,71 with GCF Formula

Least Common Multiple of 15,49,71 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 15,49,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,49,71) = 1

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

GCF(15,49,71) x common factors =1 x 1 = 1

LCM(15,49,71) = ( 15 × 49 × 71 ) / 1

LCM(15,49,71) = 52185 / 1

LCM(15,49,71) = 52185


Lets's calculate GCF of 45,56,427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52185/1

Therefore the LCM of Fractions 15/45,49/56,71/427 is 52185

Greatest Common Factor of 45,56,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,56,427 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 45,56,427 . The biggest common factor number is the GCF number.
So the greatest common factor 45,56,427 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 15/45, 49/56, 71/427

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 15/45, 49/56, 71/427?

Answer: LCM of Numerators as per given numbers 15/45, 49/56, 71/427 is

LCM of Numerators i.e. for 15,49,71 is 52185

GCF of denominators i.e. for 45,56,427 is 1.

Thus, LCM of Fractions is 52185.Finally, LCM of Fractions for 15/45, 49/56, 71/427 is 52185.