Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 648/90, 292/5675 quickly i.e. 47304/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 648/90, 292/5675 is 47304/5.
LCM(648/90, 292/5675) = 47304/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 648/90,292/5675
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 648,292
Least Common Multiple of Numerators i.e. LCM of 648,292 is 47304.
GCF of Denominators means GCF of 90,5675 as per the given fractions.
GCF of 90,5675 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 648,292
2 | 648, 292 |
2 | 324, 146 |
162, 73 |
∴ So the LCM of the given numbers is 2 x 2 x 162 x 73 = 47304
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 648,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,292) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(648,292) x common factors =4 x 1 = 4
LCM(648,292) = ( 648 × 292 ) / 4
LCM(648,292) = 189216 / 4
LCM(648,292) = 47304
Lets's calculate GCF of 90,5675
5 | 90, 5675 |
18, 1135 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47304/5
Therefore the LCM of Fractions 648/90,292/5675 is 47304/5
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 5675
List of positive integer factors of 5675 that divides 5675 without a remainder.
1,5,25,227,1135,5675
Greatest Common Factor
We found the factors 90,5675 . The biggest common factor number is the GCF number.
So the greatest common factor 90,5675 is 5.
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 648/90, 292/5675?
Answer: LCM of Numerators as per given numbers 648/90, 292/5675 is
LCM of Numerators i.e. for 648,292 is 47304
GCF of denominators i.e. for 90,5675 is 5.
Thus, LCM of Fractions is 47304/5.Finally, LCM of Fractions for 648/90, 292/5675 is 47304/5.