Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 655/812, 848/724, 132/658 quickly i.e. 9164760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 655/812, 848/724, 132/658 is 9164760.
LCM(655/812, 848/724, 132/658) = 9164760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 655/812,848/724,132/658
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 655,848,132
Least Common Multiple of Numerators i.e. LCM of 655,848,132 is 18329520.
GCF of Denominators means GCF of 812,724,658 as per the given fractions.
GCF of 812,724,658 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 655,848,132
2 | 655, 848, 132 |
2 | 655, 424, 66 |
655, 212, 33 |
∴ So the LCM of the given numbers is 2 x 2 x 655 x 212 x 33 = 18329520
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 655,848,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,848,132) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(655,848,132) x common factors =1 x 4 = 4
LCM(655,848,132) = ( 655 × 848 × 132 ) / 4
LCM(655,848,132) = 73318080 / 4
LCM(655,848,132) = 18329520
Lets's calculate GCF of 812,724,658
2 | 812, 724, 658 |
406, 362, 329 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18329520/2
Therefore the LCM of Fractions 655/812,848/724,132/658 is 9164760
Factors of 812
List of positive integer factors of 812 that divides 812 without a remainder.
1,2,4,7,14,28,29,58,116,203,406,812
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
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 812,724,658 . The biggest common factor number is the GCF number.
So the greatest common factor 812,724,658 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 655/812, 848/724, 132/658?
Answer: LCM of Numerators as per given numbers 655/812, 848/724, 132/658 is
LCM of Numerators i.e. for 655,848,132 is 18329520
GCF of denominators i.e. for 812,724,658 is 2.
Thus, LCM of Fractions is 9164760.Finally, LCM of Fractions for 655/812, 848/724, 132/658 is 9164760.