Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/93, 626/30, 455/771 quickly i.e. 8260070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/93, 626/30, 455/771 is 8260070.
LCM(87/93, 626/30, 455/771) = 8260070
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/93,626/30,455/771
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 87,626,455
Least Common Multiple of Numerators i.e. LCM of 87,626,455 is 24780210.
GCF of Denominators means GCF of 93,30,771 as per the given fractions.
GCF of 93,30,771 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,626,455
Given numbers has no common factors except 1. So, there LCM is their product i.e 24780210
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 87,626,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,626,455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,626,455) x common factors =1 x 1 = 1
LCM(87,626,455) = ( 87 × 626 × 455 ) / 1
LCM(87,626,455) = 24780210 / 1
LCM(87,626,455) = 24780210
Lets's calculate GCF of 93,30,771
3 | 93, 30, 771 |
31, 10, 257 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24780210/3
Therefore the LCM of Fractions 87/93,626/30,455/771 is 8260070
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Greatest Common Factor
We found the factors 93,30,771 . The biggest common factor number is the GCF number.
So the greatest common factor 93,30,771 is 3.
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 87/93, 626/30, 455/771?
Answer: LCM of Numerators as per given numbers 87/93, 626/30, 455/771 is
LCM of Numerators i.e. for 87,626,455 is 24780210
GCF of denominators i.e. for 93,30,771 is 3.
Thus, LCM of Fractions is 8260070.Finally, LCM of Fractions for 87/93, 626/30, 455/771 is 8260070.