Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/847, 450/798, 648/347 quickly i.e. 16200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/847, 450/798, 648/347 is 16200.
LCM(50/847, 450/798, 648/347) = 16200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/847,450/798,648/347
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 50,450,648
Least Common Multiple of Numerators i.e. LCM of 50,450,648 is 16200.
GCF of Denominators means GCF of 847,798,347 as per the given fractions.
GCF of 847,798,347 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,450,648
2 | 50, 450, 648 |
3 | 25, 225, 324 |
3 | 25, 75, 108 |
5 | 25, 25, 36 |
5 | 5, 5, 36 |
1, 1, 36 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 5 x 1 x 1 x 36 = 16200
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 50,450,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,450,648) = 2
common factors(in case of two or more numbers have common factors) = 450
GCF(50,450,648) x common factors =2 x 450 = 900
LCM(50,450,648) = ( 50 × 450 × 648 ) / 900
LCM(50,450,648) = 14580000 / 900
LCM(50,450,648) = 16200
Lets's calculate GCF of 847,798,347
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16200/1
Therefore the LCM of Fractions 50/847,450/798,648/347 is 16200
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Factors of 347
List of positive integer factors of 347 that divides 347 without a remainder.
1,347
Greatest Common Factor
We found the factors 847,798,347 . The biggest common factor number is the GCF number.
So the greatest common factor 847,798,347 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 50/847, 450/798, 648/347?
Answer: LCM of Numerators as per given numbers 50/847, 450/798, 648/347 is
LCM of Numerators i.e. for 50,450,648 is 16200
GCF of denominators i.e. for 847,798,347 is 1.
Thus, LCM of Fractions is 16200.Finally, LCM of Fractions for 50/847, 450/798, 648/347 is 16200.