Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/120, 33/977, 367/554 quickly i.e. 569217 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/120, 33/977, 367/554 is 569217.
LCM(47/120, 33/977, 367/554) = 569217
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/120,33/977,367/554
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 47,33,367
Least Common Multiple of Numerators i.e. LCM of 47,33,367 is 569217.
GCF of Denominators means GCF of 120,977,554 as per the given fractions.
GCF of 120,977,554 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,33,367
Given numbers has no common factors except 1. So, there LCM is their product i.e 569217
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 47,33,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,33,367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,33,367) x common factors =1 x 1 = 1
LCM(47,33,367) = ( 47 × 33 × 367 ) / 1
LCM(47,33,367) = 569217 / 1
LCM(47,33,367) = 569217
Lets's calculate GCF of 120,977,554
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 569217/1
Therefore the LCM of Fractions 47/120,33/977,367/554 is 569217
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Factors of 977
List of positive integer factors of 977 that divides 977 without a remainder.
1,977
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Greatest Common Factor
We found the factors 120,977,554 . The biggest common factor number is the GCF number.
So the greatest common factor 120,977,554 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 47/120, 33/977, 367/554?
Answer: LCM of Numerators as per given numbers 47/120, 33/977, 367/554 is
LCM of Numerators i.e. for 47,33,367 is 569217
GCF of denominators i.e. for 120,977,554 is 1.
Thus, LCM of Fractions is 569217.Finally, LCM of Fractions for 47/120, 33/977, 367/554 is 569217.