Least Common Multiple of 15/47, 41/35, 16/89, 47/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/47, 41/35, 16/89, 47/914 quickly i.e. 462480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/47, 41/35, 16/89, 47/914 is 462480.

LCM(15/47, 41/35, 16/89, 47/914) = 462480

LCM of 15/47, 41/35, 16/89, 47/914

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 15/47,41/35,16/89,47/914

Given numbers are 15/47,41/35,16/89,47/914

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 15,41,16,47

Least Common Multiple of Numerators i.e. LCM of 15,41,16,47 is 462480.

GCF of Denominators means GCF of 47,35,89,914 as per the given fractions.

GCF of 47,35,89,914 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,41,16,47

LCM of Fractions 15/47,41/35,16/89,47/914 is 462480

Given numbers has no common factors except 1. So, there LCM is their product i.e 462480

Least Common Multiple of 15,41,16,47 with GCF Formula

Least Common Multiple of 15,41,16,47 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 15,41,16,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,41,16,47) = 1

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

GCF(15,41,16,47) x common factors =1 x 1 = 1

LCM(15,41,16,47) = ( 15 × 41 × 16 × 47 ) / 1

LCM(15,41,16,47) = 462480 / 1

LCM(15,41,16,47) = 462480


Lets's calculate GCF of 47,35,89,914

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 462480/1

Therefore the LCM of Fractions 15/47,41/35,16/89,47/914 is 462480

Greatest Common Factor of 47,35,89,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,35,89,914 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 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 47,35,89,914 . The biggest common factor number is the GCF number.
So the greatest common factor 47,35,89,914 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 15/47, 41/35, 16/89, 47/914

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 15/47, 41/35, 16/89, 47/914?

Answer: LCM of Numerators as per given numbers 15/47, 41/35, 16/89, 47/914 is

LCM of Numerators i.e. for 15,41,16,47 is 462480

GCF of denominators i.e. for 47,35,89,914 is 1.

Thus, LCM of Fractions is 462480.Finally, LCM of Fractions for 15/47, 41/35, 16/89, 47/914 is 462480.