Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/99, 94/92, 964/467 quickly i.e. 3941796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/99, 94/92, 964/467 is 3941796.
LCM(87/99, 94/92, 964/467) = 3941796
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/99,94/92,964/467
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 87,94,964
Least Common Multiple of Numerators i.e. LCM of 87,94,964 is 3941796.
GCF of Denominators means GCF of 99,92,467 as per the given fractions.
GCF of 99,92,467 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,94,964
2 | 87, 94, 964 |
87, 47, 482 |
∴ So the LCM of the given numbers is 2 x 87 x 47 x 482 = 3941796
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 87,94,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,94,964) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(87,94,964) x common factors =1 x 2 = 2
LCM(87,94,964) = ( 87 × 94 × 964 ) / 2
LCM(87,94,964) = 7883592 / 2
LCM(87,94,964) = 3941796
Lets's calculate GCF of 99,92,467
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3941796/1
Therefore the LCM of Fractions 87/99,94/92,964/467 is 3941796
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 467
List of positive integer factors of 467 that divides 467 without a remainder.
1,467
Greatest Common Factor
We found the factors 99,92,467 . The biggest common factor number is the GCF number.
So the greatest common factor 99,92,467 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 87/99, 94/92, 964/467?
Answer: LCM of Numerators as per given numbers 87/99, 94/92, 964/467 is
LCM of Numerators i.e. for 87,94,964 is 3941796
GCF of denominators i.e. for 99,92,467 is 1.
Thus, LCM of Fractions is 3941796.Finally, LCM of Fractions for 87/99, 94/92, 964/467 is 3941796.