Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/32, 10/466, 700/388 quickly i.e. 27650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/32, 10/466, 700/388 is 27650.
LCM(79/32, 10/466, 700/388) = 27650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/32,10/466,700/388
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 79,10,700
Least Common Multiple of Numerators i.e. LCM of 79,10,700 is 55300.
GCF of Denominators means GCF of 32,466,388 as per the given fractions.
GCF of 32,466,388 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,10,700
2 | 79, 10, 700 |
5 | 79, 5, 350 |
79, 1, 70 |
∴ So the LCM of the given numbers is 2 x 5 x 79 x 1 x 70 = 55300
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 79,10,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,10,700) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(79,10,700) x common factors =1 x 10 = 10
LCM(79,10,700) = ( 79 × 10 × 700 ) / 10
LCM(79,10,700) = 553000 / 10
LCM(79,10,700) = 55300
Lets's calculate GCF of 32,466,388
2 | 32, 466, 388 |
16, 233, 194 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55300/2
Therefore the LCM of Fractions 79/32,10/466,700/388 is 27650
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Greatest Common Factor
We found the factors 32,466,388 . The biggest common factor number is the GCF number.
So the greatest common factor 32,466,388 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 79/32, 10/466, 700/388?
Answer: LCM of Numerators as per given numbers 79/32, 10/466, 700/388 is
LCM of Numerators i.e. for 79,10,700 is 55300
GCF of denominators i.e. for 32,466,388 is 2.
Thus, LCM of Fractions is 27650.Finally, LCM of Fractions for 79/32, 10/466, 700/388 is 27650.