Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 785/32, 772/92, 100/474 quickly i.e. 1515050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 785/32, 772/92, 100/474 is 1515050.
LCM(785/32, 772/92, 100/474) = 1515050
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 785/32,772/92,100/474
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 785,772,100
Least Common Multiple of Numerators i.e. LCM of 785,772,100 is 3030100.
GCF of Denominators means GCF of 32,92,474 as per the given fractions.
GCF of 32,92,474 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 785,772,100
2 | 785, 772, 100 |
2 | 785, 386, 50 |
5 | 785, 193, 25 |
157, 193, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 157 x 193 x 5 = 3030100
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 785,772,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,772,100) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(785,772,100) x common factors =1 x 20 = 20
LCM(785,772,100) = ( 785 × 772 × 100 ) / 20
LCM(785,772,100) = 60602000 / 20
LCM(785,772,100) = 3030100
Lets's calculate GCF of 32,92,474
2 | 32, 92, 474 |
16, 46, 237 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3030100/2
Therefore the LCM of Fractions 785/32,772/92,100/474 is 1515050
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 32,92,474 . The biggest common factor number is the GCF number.
So the greatest common factor 32,92,474 is 2.
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 785/32, 772/92, 100/474?
Answer: LCM of Numerators as per given numbers 785/32, 772/92, 100/474 is
LCM of Numerators i.e. for 785,772,100 is 3030100
GCF of denominators i.e. for 32,92,474 is 2.
Thus, LCM of Fractions is 1515050.Finally, LCM of Fractions for 785/32, 772/92, 100/474 is 1515050.