Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 612/45, 742/58, 906/476 quickly i.e. 34284852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 612/45, 742/58, 906/476 is 34284852.
LCM(612/45, 742/58, 906/476) = 34284852
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 612/45,742/58,906/476
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 612,742,906
Least Common Multiple of Numerators i.e. LCM of 612,742,906 is 34284852.
GCF of Denominators means GCF of 45,58,476 as per the given fractions.
GCF of 45,58,476 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 612,742,906
2 | 612, 742, 906 |
3 | 306, 371, 453 |
102, 371, 151 |
∴ So the LCM of the given numbers is 2 x 3 x 102 x 371 x 151 = 34284852
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 612,742,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,742,906) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(612,742,906) x common factors =2 x 6 = 12
LCM(612,742,906) = ( 612 × 742 × 906 ) / 12
LCM(612,742,906) = 411418224 / 12
LCM(612,742,906) = 34284852
Lets's calculate GCF of 45,58,476
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34284852/1
Therefore the LCM of Fractions 612/45,742/58,906/476 is 34284852
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Greatest Common Factor
We found the factors 45,58,476 . The biggest common factor number is the GCF number.
So the greatest common factor 45,58,476 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 612/45, 742/58, 906/476?
Answer: LCM of Numerators as per given numbers 612/45, 742/58, 906/476 is
LCM of Numerators i.e. for 612,742,906 is 34284852
GCF of denominators i.e. for 45,58,476 is 1.
Thus, LCM of Fractions is 34284852.Finally, LCM of Fractions for 612/45, 742/58, 906/476 is 34284852.