Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 477/648, 1050/2634 quickly i.e. 27825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 477/648, 1050/2634 is 27825.
LCM(477/648, 1050/2634) = 27825
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 477/648,1050/2634
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 477,1050
Least Common Multiple of Numerators i.e. LCM of 477,1050 is 166950.
GCF of Denominators means GCF of 648,2634 as per the given fractions.
GCF of 648,2634 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 477,1050
3 | 477, 1050 |
159, 350 |
∴ So the LCM of the given numbers is 3 x 159 x 350 = 166950
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 477,1050 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,1050) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(477,1050) x common factors =3 x 1 = 3
LCM(477,1050) = ( 477 × 1050 ) / 3
LCM(477,1050) = 500850 / 3
LCM(477,1050) = 166950
Lets's calculate GCF of 648,2634
2 | 648, 2634 |
3 | 324, 1317 |
108, 439 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166950/6
Therefore the LCM of Fractions 477/648,1050/2634 is 27825
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Factors of 2634
List of positive integer factors of 2634 that divides 2634 without a remainder.
1,2,3,6,439,878,1317,2634
Greatest Common Factor
We found the factors 648,2634 . The biggest common factor number is the GCF number.
So the greatest common factor 648,2634 is 6.
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 477/648, 1050/2634?
Answer: LCM of Numerators as per given numbers 477/648, 1050/2634 is
LCM of Numerators i.e. for 477,1050 is 166950
GCF of denominators i.e. for 648,2634 is 6.
Thus, LCM of Fractions is 27825.Finally, LCM of Fractions for 477/648, 1050/2634 is 27825.