Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 408/58, 748/82, 695/356 quickly i.e. 1559580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 408/58, 748/82, 695/356 is 1559580.
LCM(408/58, 748/82, 695/356) = 1559580
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 408/58,748/82,695/356
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 408,748,695
Least Common Multiple of Numerators i.e. LCM of 408,748,695 is 3119160.
GCF of Denominators means GCF of 58,82,356 as per the given fractions.
GCF of 58,82,356 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 408,748,695
2 | 408, 748, 695 |
2 | 204, 374, 695 |
17 | 102, 187, 695 |
6, 11, 695 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 6 x 11 x 695 = 3119160
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 408,748,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,748,695) = 1
common factors(in case of two or more numbers have common factors) = 68
GCF(408,748,695) x common factors =1 x 68 = 68
LCM(408,748,695) = ( 408 × 748 × 695 ) / 68
LCM(408,748,695) = 212102880 / 68
LCM(408,748,695) = 3119160
Lets's calculate GCF of 58,82,356
2 | 58, 82, 356 |
29, 41, 178 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3119160/2
Therefore the LCM of Fractions 408/58,748/82,695/356 is 1559580
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1,2,4,89,178,356
Greatest Common Factor
We found the factors 58,82,356 . The biggest common factor number is the GCF number.
So the greatest common factor 58,82,356 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 408/58, 748/82, 695/356?
Answer: LCM of Numerators as per given numbers 408/58, 748/82, 695/356 is
LCM of Numerators i.e. for 408,748,695 is 3119160
GCF of denominators i.e. for 58,82,356 is 2.
Thus, LCM of Fractions is 1559580.Finally, LCM of Fractions for 408/58, 748/82, 695/356 is 1559580.