Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/102, 472/436, 807/615 quickly i.e. 1142712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/102, 472/436, 807/615 is 1142712.
LCM(36/102, 472/436, 807/615) = 1142712
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/102,472/436,807/615
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 36,472,807
Least Common Multiple of Numerators i.e. LCM of 36,472,807 is 1142712.
GCF of Denominators means GCF of 102,436,615 as per the given fractions.
GCF of 102,436,615 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,472,807
2 | 36, 472, 807 |
2 | 18, 236, 807 |
3 | 9, 118, 807 |
3, 118, 269 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 118 x 269 = 1142712
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 36,472,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,472,807) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(36,472,807) x common factors =1 x 12 = 12
LCM(36,472,807) = ( 36 × 472 × 807 ) / 12
LCM(36,472,807) = 13712544 / 12
LCM(36,472,807) = 1142712
Lets's calculate GCF of 102,436,615
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1142712/1
Therefore the LCM of Fractions 36/102,472/436,807/615 is 1142712
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Greatest Common Factor
We found the factors 102,436,615 . The biggest common factor number is the GCF number.
So the greatest common factor 102,436,615 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 36/102, 472/436, 807/615?
Answer: LCM of Numerators as per given numbers 36/102, 472/436, 807/615 is
LCM of Numerators i.e. for 36,472,807 is 1142712
GCF of denominators i.e. for 102,436,615 is 1.
Thus, LCM of Fractions is 1142712.Finally, LCM of Fractions for 36/102, 472/436, 807/615 is 1142712.