Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1052/187, 1190/828 quickly i.e. 625940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1052/187, 1190/828 is 625940.
LCM(1052/187, 1190/828) = 625940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1052/187,1190/828
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 1052,1190
Least Common Multiple of Numerators i.e. LCM of 1052,1190 is 625940.
GCF of Denominators means GCF of 187,828 as per the given fractions.
GCF of 187,828 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1052,1190
2 | 1052, 1190 |
526, 595 |
∴ So the LCM of the given numbers is 2 x 526 x 595 = 625940
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 1052,1190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1052,1190) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1052,1190) x common factors =2 x 1 = 2
LCM(1052,1190) = ( 1052 × 1190 ) / 2
LCM(1052,1190) = 1251880 / 2
LCM(1052,1190) = 625940
Lets's calculate GCF of 187,828
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 625940/1
Therefore the LCM of Fractions 1052/187,1190/828 is 625940
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 187,828 . The biggest common factor number is the GCF number.
So the greatest common factor 187,828 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 1052/187, 1190/828?
Answer: LCM of Numerators as per given numbers 1052/187, 1190/828 is
LCM of Numerators i.e. for 1052,1190 is 625940
GCF of denominators i.e. for 187,828 is 1.
Thus, LCM of Fractions is 625940.Finally, LCM of Fractions for 1052/187, 1190/828 is 625940.