Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5083/60, 4970/980 quickly i.e. 25262510/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5083/60, 4970/980 is 25262510/20.
LCM(5083/60, 4970/980) = 25262510/20
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5083/60,4970/980
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 5083,4970
Least Common Multiple of Numerators i.e. LCM of 5083,4970 is 25262510.
GCF of Denominators means GCF of 60,980 as per the given fractions.
GCF of 60,980 is 20 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5083,4970
Given numbers has no common factors except 1. So, there LCM is their product i.e 25262510
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 5083,4970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5083,4970) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5083,4970) x common factors =1 x 1 = 1
LCM(5083,4970) = ( 5083 × 4970 ) / 1
LCM(5083,4970) = 25262510 / 1
LCM(5083,4970) = 25262510
Lets's calculate GCF of 60,980
2 | 60, 980 |
2 | 30, 490 |
5 | 15, 245 |
3, 49 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25262510/20
Therefore the LCM of Fractions 5083/60,4970/980 is 25262510/20
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 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Greatest Common Factor
We found the factors 60,980 . The biggest common factor number is the GCF number.
So the greatest common factor 60,980 is 20.
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 5083/60, 4970/980?
Answer: LCM of Numerators as per given numbers 5083/60, 4970/980 is
LCM of Numerators i.e. for 5083,4970 is 25262510
GCF of denominators i.e. for 60,980 is 20.
Thus, LCM of Fractions is 25262510/20.Finally, LCM of Fractions for 5083/60, 4970/980 is 25262510/20.