Least Common Multiple of 421/44, 716/47, 417/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 421/44, 716/47, 417/471 quickly i.e. 125698812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 421/44, 716/47, 417/471 is 125698812.

LCM(421/44, 716/47, 417/471) = 125698812

LCM of 421/44, 716/47, 417/471

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 421/44,716/47,417/471

Given numbers are 421/44,716/47,417/471

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 421,716,417

Least Common Multiple of Numerators i.e. LCM of 421,716,417 is 125698812.

GCF of Denominators means GCF of 44,47,471 as per the given fractions.

GCF of 44,47,471 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 421,716,417

LCM of Fractions 421/44,716/47,417/471 is 125698812

Given numbers has no common factors except 1. So, there LCM is their product i.e 125698812

Least Common Multiple of 421,716,417 with GCF Formula

Least Common Multiple of 421,716,417 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 421,716,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,716,417) = 1

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

GCF(421,716,417) x common factors =1 x 1 = 1

LCM(421,716,417) = ( 421 × 716 × 417 ) / 1

LCM(421,716,417) = 125698812 / 1

LCM(421,716,417) = 125698812


Lets's calculate GCF of 44,47,471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125698812/1

Therefore the LCM of Fractions 421/44,716/47,417/471 is 125698812

Greatest Common Factor of 44,47,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,47,471 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 47

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

1,47

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 44,47,471 . The biggest common factor number is the GCF number.
So the greatest common factor 44,47,471 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 421/44, 716/47, 417/471

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 421/44, 716/47, 417/471?

Answer: LCM of Numerators as per given numbers 421/44, 716/47, 417/471 is

LCM of Numerators i.e. for 421,716,417 is 125698812

GCF of denominators i.e. for 44,47,471 is 1.

Thus, LCM of Fractions is 125698812.Finally, LCM of Fractions for 421/44, 716/47, 417/471 is 125698812.