Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/853, 151/188, 844/907 quickly i.e. 1146996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/853, 151/188, 844/907 is 1146996.
LCM(36/853, 151/188, 844/907) = 1146996
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/853,151/188,844/907
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 36,151,844
Least Common Multiple of Numerators i.e. LCM of 36,151,844 is 1146996.
GCF of Denominators means GCF of 853,188,907 as per the given fractions.
GCF of 853,188,907 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,151,844
2 | 36, 151, 844 |
2 | 18, 151, 422 |
9, 151, 211 |
∴ So the LCM of the given numbers is 2 x 2 x 9 x 151 x 211 = 1146996
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 36,151,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,151,844) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(36,151,844) x common factors =1 x 4 = 4
LCM(36,151,844) = ( 36 × 151 × 844 ) / 4
LCM(36,151,844) = 4587984 / 4
LCM(36,151,844) = 1146996
Lets's calculate GCF of 853,188,907
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1146996/1
Therefore the LCM of Fractions 36/853,151/188,844/907 is 1146996
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Factors of 907
List of positive integer factors of 907 that divides 907 without a remainder.
1,907
Greatest Common Factor
We found the factors 853,188,907 . The biggest common factor number is the GCF number.
So the greatest common factor 853,188,907 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 36/853, 151/188, 844/907?
Answer: LCM of Numerators as per given numbers 36/853, 151/188, 844/907 is
LCM of Numerators i.e. for 36,151,844 is 1146996
GCF of denominators i.e. for 853,188,907 is 1.
Thus, LCM of Fractions is 1146996.Finally, LCM of Fractions for 36/853, 151/188, 844/907 is 1146996.