Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/821, 549/428, 848/245 quickly i.e. 2327760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/821, 549/428, 848/245 is 2327760.
LCM(90/821, 549/428, 848/245) = 2327760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/821,549/428,848/245
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 90,549,848
Least Common Multiple of Numerators i.e. LCM of 90,549,848 is 2327760.
GCF of Denominators means GCF of 821,428,245 as per the given fractions.
GCF of 821,428,245 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,549,848
2 | 90, 549, 848 |
3 | 45, 549, 424 |
3 | 15, 183, 424 |
5, 61, 424 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 61 x 424 = 2327760
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 90,549,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,549,848) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(90,549,848) x common factors =1 x 18 = 18
LCM(90,549,848) = ( 90 × 549 × 848 ) / 18
LCM(90,549,848) = 41899680 / 18
LCM(90,549,848) = 2327760
Lets's calculate GCF of 821,428,245
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2327760/1
Therefore the LCM of Fractions 90/821,549/428,848/245 is 2327760
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1,821
Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1,2,4,107,214,428
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
Greatest Common Factor
We found the factors 821,428,245 . The biggest common factor number is the GCF number.
So the greatest common factor 821,428,245 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 90/821, 549/428, 848/245?
Answer: LCM of Numerators as per given numbers 90/821, 549/428, 848/245 is
LCM of Numerators i.e. for 90,549,848 is 2327760
GCF of denominators i.e. for 821,428,245 is 1.
Thus, LCM of Fractions is 2327760.Finally, LCM of Fractions for 90/821, 549/428, 848/245 is 2327760.