Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 832/918, 8718/658 quickly i.e. 1813344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 832/918, 8718/658 is 1813344.
LCM(832/918, 8718/658) = 1813344
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 832/918,8718/658
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 832,8718
Least Common Multiple of Numerators i.e. LCM of 832,8718 is 3626688.
GCF of Denominators means GCF of 918,658 as per the given fractions.
GCF of 918,658 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 832,8718
2 | 832, 8718 |
416, 4359 |
∴ So the LCM of the given numbers is 2 x 416 x 4359 = 3626688
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 832,8718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,8718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(832,8718) x common factors =2 x 1 = 2
LCM(832,8718) = ( 832 × 8718 ) / 2
LCM(832,8718) = 7253376 / 2
LCM(832,8718) = 3626688
Lets's calculate GCF of 918,658
2 | 918, 658 |
459, 329 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3626688/2
Therefore the LCM of Fractions 832/918,8718/658 is 1813344
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 918,658 . The biggest common factor number is the GCF number.
So the greatest common factor 918,658 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 832/918, 8718/658?
Answer: LCM of Numerators as per given numbers 832/918, 8718/658 is
LCM of Numerators i.e. for 832,8718 is 3626688
GCF of denominators i.e. for 918,658 is 2.
Thus, LCM of Fractions is 1813344.Finally, LCM of Fractions for 832/918, 8718/658 is 1813344.