Least Common Multiple of 47/15, 65/456, 974/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/15, 65/456, 974/217 quickly i.e. 2975570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/15, 65/456, 974/217 is 2975570.

LCM(47/15, 65/456, 974/217) = 2975570

LCM of 47/15, 65/456, 974/217

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 47/15,65/456,974/217

Given numbers are 47/15,65/456,974/217

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 47,65,974

Least Common Multiple of Numerators i.e. LCM of 47,65,974 is 2975570.

GCF of Denominators means GCF of 15,456,217 as per the given fractions.

GCF of 15,456,217 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,65,974

LCM of Fractions 47/15,65/456,974/217 is 2975570

Given numbers has no common factors except 1. So, there LCM is their product i.e 2975570

Least Common Multiple of 47,65,974 with GCF Formula

Least Common Multiple of 47,65,974 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 47,65,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,65,974) = 1

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

GCF(47,65,974) x common factors =1 x 1 = 1

LCM(47,65,974) = ( 47 × 65 × 974 ) / 1

LCM(47,65,974) = 2975570 / 1

LCM(47,65,974) = 2975570


Lets's calculate GCF of 15,456,217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2975570/1

Therefore the LCM of Fractions 47/15,65/456,974/217 is 2975570

Greatest Common Factor of 15,456,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,456,217 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 15,456,217 . The biggest common factor number is the GCF number.
So the greatest common factor 15,456,217 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 47/15, 65/456, 974/217

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 47/15, 65/456, 974/217?

Answer: LCM of Numerators as per given numbers 47/15, 65/456, 974/217 is

LCM of Numerators i.e. for 47,65,974 is 2975570

GCF of denominators i.e. for 15,456,217 is 1.

Thus, LCM of Fractions is 2975570.Finally, LCM of Fractions for 47/15, 65/456, 974/217 is 2975570.