Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/938, 388/833, 101/978 quickly i.e. 352692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/938, 388/833, 101/978 is 352692.
LCM(18/938, 388/833, 101/978) = 352692
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/938,388/833,101/978
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 18,388,101
Least Common Multiple of Numerators i.e. LCM of 18,388,101 is 352692.
GCF of Denominators means GCF of 938,833,978 as per the given fractions.
GCF of 938,833,978 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,388,101
2 | 18, 388, 101 |
9, 194, 101 |
∴ So the LCM of the given numbers is 2 x 9 x 194 x 101 = 352692
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 18,388,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,388,101) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(18,388,101) x common factors =1 x 2 = 2
LCM(18,388,101) = ( 18 × 388 × 101 ) / 2
LCM(18,388,101) = 705384 / 2
LCM(18,388,101) = 352692
Lets's calculate GCF of 938,833,978
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 352692/1
Therefore the LCM of Fractions 18/938,388/833,101/978 is 352692
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 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Greatest Common Factor
We found the factors 938,833,978 . The biggest common factor number is the GCF number.
So the greatest common factor 938,833,978 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 18/938, 388/833, 101/978?
Answer: LCM of Numerators as per given numbers 18/938, 388/833, 101/978 is
LCM of Numerators i.e. for 18,388,101 is 352692
GCF of denominators i.e. for 938,833,978 is 1.
Thus, LCM of Fractions is 352692.Finally, LCM of Fractions for 18/938, 388/833, 101/978 is 352692.