Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/938, 7350/9970 quickly i.e. 106575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/938, 7350/9970 is 106575.
LCM(29/938, 7350/9970) = 106575
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/938,7350/9970
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 29,7350
Least Common Multiple of Numerators i.e. LCM of 29,7350 is 213150.
GCF of Denominators means GCF of 938,9970 as per the given fractions.
GCF of 938,9970 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,7350
Given numbers has no common factors except 1. So, there LCM is their product i.e 213150
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 29,7350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,7350) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,7350) x common factors =1 x 1 = 1
LCM(29,7350) = ( 29 × 7350 ) / 1
LCM(29,7350) = 213150 / 1
LCM(29,7350) = 213150
Lets's calculate GCF of 938,9970
2 | 938, 9970 |
469, 4985 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213150/2
Therefore the LCM of Fractions 29/938,7350/9970 is 106575
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Factors of 9970
List of positive integer factors of 9970 that divides 9970 without a remainder.
1,2,5,10,997,1994,4985,9970
Greatest Common Factor
We found the factors 938,9970 . The biggest common factor number is the GCF number.
So the greatest common factor 938,9970 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 29/938, 7350/9970?
Answer: LCM of Numerators as per given numbers 29/938, 7350/9970 is
LCM of Numerators i.e. for 29,7350 is 213150
GCF of denominators i.e. for 938,9970 is 2.
Thus, LCM of Fractions is 106575.Finally, LCM of Fractions for 29/938, 7350/9970 is 106575.