Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/837, 12/852, 198/703 quickly i.e. 1980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/837, 12/852, 198/703 is 1980.
LCM(10/837, 12/852, 198/703) = 1980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/837,12/852,198/703
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 10,12,198
Least Common Multiple of Numerators i.e. LCM of 10,12,198 is 1980.
GCF of Denominators means GCF of 837,852,703 as per the given fractions.
GCF of 837,852,703 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,12,198
2 | 10, 12, 198 |
3 | 5, 6, 99 |
5, 2, 33 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 2 x 33 = 1980
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 10,12,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,12,198) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(10,12,198) x common factors =2 x 6 = 12
LCM(10,12,198) = ( 10 × 12 × 198 ) / 12
LCM(10,12,198) = 23760 / 12
LCM(10,12,198) = 1980
Lets's calculate GCF of 837,852,703
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1980/1
Therefore the LCM of Fractions 10/837,12/852,198/703 is 1980
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Greatest Common Factor
We found the factors 837,852,703 . The biggest common factor number is the GCF number.
So the greatest common factor 837,852,703 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 10/837, 12/852, 198/703?
Answer: LCM of Numerators as per given numbers 10/837, 12/852, 198/703 is
LCM of Numerators i.e. for 10,12,198 is 1980
GCF of denominators i.e. for 837,852,703 is 1.
Thus, LCM of Fractions is 1980.Finally, LCM of Fractions for 10/837, 12/852, 198/703 is 1980.