Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/98, 10/26, 25/60, 20/482 quickly i.e. 600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/98, 10/26, 25/60, 20/482 is 600.
LCM(48/98, 10/26, 25/60, 20/482) = 600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/98,10/26,25/60,20/482
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 48,10,25,20
Least Common Multiple of Numerators i.e. LCM of 48,10,25,20 is 1200.
GCF of Denominators means GCF of 98,26,60,482 as per the given fractions.
GCF of 98,26,60,482 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,10,25,20
2 | 48, 10, 25, 20 |
2 | 24, 5, 25, 10 |
5 | 12, 5, 25, 5 |
12, 1, 1, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 12 x 1 x 1 x 5 = 1200
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 48,10,25,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,10,25,20) = 1
common factors(in case of two or more numbers have common factors) = 200
GCF(48,10,25,20) x common factors =1 x 200 = 200
LCM(48,10,25,20) = ( 48 × 10 × 25 × 20 ) / 200
LCM(48,10,25,20) = 240000 / 200
LCM(48,10,25,20) = 1200
Lets's calculate GCF of 98,26,60,482
2 | 98, 26, 60, 482 |
49, 13, 30, 241 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1200/2
Therefore the LCM of Fractions 48/98,10/26,25/60,20/482 is 600
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Greatest Common Factor
We found the factors 98,26,60,482 . The biggest common factor number is the GCF number.
So the greatest common factor 98,26,60,482 is 2.
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 48/98, 10/26, 25/60, 20/482?
Answer: LCM of Numerators as per given numbers 48/98, 10/26, 25/60, 20/482 is
LCM of Numerators i.e. for 48,10,25,20 is 1200
GCF of denominators i.e. for 98,26,60,482 is 2.
Thus, LCM of Fractions is 600.Finally, LCM of Fractions for 48/98, 10/26, 25/60, 20/482 is 600.