Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/594, 167/508, 868/148 quickly i.e. 72478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/594, 167/508, 868/148 is 72478.
LCM(62/594, 167/508, 868/148) = 72478
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/594,167/508,868/148
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 62,167,868
Least Common Multiple of Numerators i.e. LCM of 62,167,868 is 144956.
GCF of Denominators means GCF of 594,508,148 as per the given fractions.
GCF of 594,508,148 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,167,868
2 | 62, 167, 868 |
31 | 31, 167, 434 |
1, 167, 14 |
∴ So the LCM of the given numbers is 2 x 31 x 1 x 167 x 14 = 144956
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 62,167,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,167,868) = 1
common factors(in case of two or more numbers have common factors) = 62
GCF(62,167,868) x common factors =1 x 62 = 62
LCM(62,167,868) = ( 62 × 167 × 868 ) / 62
LCM(62,167,868) = 8987272 / 62
LCM(62,167,868) = 144956
Lets's calculate GCF of 594,508,148
2 | 594, 508, 148 |
297, 254, 74 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144956/2
Therefore the LCM of Fractions 62/594,167/508,868/148 is 72478
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 508
List of positive integer factors of 508 that divides 508 without a remainder.
1,2,4,127,254,508
Factors of 148
List of positive integer factors of 148 that divides 148 without a remainder.
1,2,4,37,74,148
Greatest Common Factor
We found the factors 594,508,148 . The biggest common factor number is the GCF number.
So the greatest common factor 594,508,148 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 62/594, 167/508, 868/148?
Answer: LCM of Numerators as per given numbers 62/594, 167/508, 868/148 is
LCM of Numerators i.e. for 62,167,868 is 144956
GCF of denominators i.e. for 594,508,148 is 2.
Thus, LCM of Fractions is 72478.Finally, LCM of Fractions for 62/594, 167/508, 868/148 is 72478.