Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 613/702, 448/162 quickly i.e. 274624/54 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 613/702, 448/162 is 274624/54.
LCM(613/702, 448/162) = 274624/54
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 613/702,448/162
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 613,448
Least Common Multiple of Numerators i.e. LCM of 613,448 is 274624.
GCF of Denominators means GCF of 702,162 as per the given fractions.
GCF of 702,162 is 54 as it is the largest common factor for these numbers.
Lets's calculate LCM of 613,448
Given numbers has no common factors except 1. So, there LCM is their product i.e 274624
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 613,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,448) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,448) x common factors =1 x 1 = 1
LCM(613,448) = ( 613 × 448 ) / 1
LCM(613,448) = 274624 / 1
LCM(613,448) = 274624
Lets's calculate GCF of 702,162
2 | 702, 162 |
3 | 351, 81 |
3 | 117, 27 |
3 | 39, 9 |
13, 3 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 274624/54
Therefore the LCM of Fractions 613/702,448/162 is 274624/54
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Greatest Common Factor
We found the factors 702,162 . The biggest common factor number is the GCF number.
So the greatest common factor 702,162 is 54.
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 613/702, 448/162?
Answer: LCM of Numerators as per given numbers 613/702, 448/162 is
LCM of Numerators i.e. for 613,448 is 274624
GCF of denominators i.e. for 702,162 is 54.
Thus, LCM of Fractions is 274624/54.Finally, LCM of Fractions for 613/702, 448/162 is 274624/54.