Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 807/84, 232/48, 188/499 quickly i.e. 8799528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 807/84, 232/48, 188/499 is 8799528.
LCM(807/84, 232/48, 188/499) = 8799528
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 807/84,232/48,188/499
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 807,232,188
Least Common Multiple of Numerators i.e. LCM of 807,232,188 is 8799528.
GCF of Denominators means GCF of 84,48,499 as per the given fractions.
GCF of 84,48,499 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 807,232,188
2 | 807, 232, 188 |
2 | 807, 116, 94 |
807, 58, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 807 x 58 x 47 = 8799528
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 807,232,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,232,188) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(807,232,188) x common factors =1 x 4 = 4
LCM(807,232,188) = ( 807 × 232 × 188 ) / 4
LCM(807,232,188) = 35198112 / 4
LCM(807,232,188) = 8799528
Lets's calculate GCF of 84,48,499
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8799528/1
Therefore the LCM of Fractions 807/84,232/48,188/499 is 8799528
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Greatest Common Factor
We found the factors 84,48,499 . The biggest common factor number is the GCF number.
So the greatest common factor 84,48,499 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 807/84, 232/48, 188/499?
Answer: LCM of Numerators as per given numbers 807/84, 232/48, 188/499 is
LCM of Numerators i.e. for 807,232,188 is 8799528
GCF of denominators i.e. for 84,48,499 is 1.
Thus, LCM of Fractions is 8799528.Finally, LCM of Fractions for 807/84, 232/48, 188/499 is 8799528.