Least Common Multiple of 561/47, 914/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 561/47, 914/199 quickly i.e. 512754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 561/47, 914/199 is 512754.

LCM(561/47, 914/199) = 512754

LCM of 561/47, 914/199

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 561/47,914/199

Given numbers are 561/47,914/199

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 561,914

Least Common Multiple of Numerators i.e. LCM of 561,914 is 512754.

GCF of Denominators means GCF of 47,199 as per the given fractions.

GCF of 47,199 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 561,914

LCM of Fractions 561/47,914/199 is 512754

Given numbers has no common factors except 1. So, there LCM is their product i.e 512754

Least Common Multiple of 561,914 with GCF Formula

Least Common Multiple of 561,914 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 561,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,914) = 1

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

GCF(561,914) x common factors =1 x 1 = 1

LCM(561,914) = ( 561 × 914 ) / 1

LCM(561,914) = 512754 / 1

LCM(561,914) = 512754


Lets's calculate GCF of 47,199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 512754/1

Therefore the LCM of Fractions 561/47,914/199 is 512754

Greatest Common Factor of 47,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,199 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 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Greatest Common Factor

We found the factors 47,199 . The biggest common factor number is the GCF number.
So the greatest common factor 47,199 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 561/47, 914/199

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 561/47, 914/199?

Answer: LCM of Numerators as per given numbers 561/47, 914/199 is

LCM of Numerators i.e. for 561,914 is 512754

GCF of denominators i.e. for 47,199 is 1.

Thus, LCM of Fractions is 512754.Finally, LCM of Fractions for 561/47, 914/199 is 512754.