Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 554/13, 239/77, 416/42 quickly i.e. 27540448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 554/13, 239/77, 416/42 is 27540448.
LCM(554/13, 239/77, 416/42) = 27540448
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 554/13,239/77,416/42
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 554,239,416
Least Common Multiple of Numerators i.e. LCM of 554,239,416 is 27540448.
GCF of Denominators means GCF of 13,77,42 as per the given fractions.
GCF of 13,77,42 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 554,239,416
2 | 554, 239, 416 |
277, 239, 208 |
∴ So the LCM of the given numbers is 2 x 277 x 239 x 208 = 27540448
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 554,239,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,239,416) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(554,239,416) x common factors =1 x 2 = 2
LCM(554,239,416) = ( 554 × 239 × 416 ) / 2
LCM(554,239,416) = 55080896 / 2
LCM(554,239,416) = 27540448
Lets's calculate GCF of 13,77,42
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27540448/1
Therefore the LCM of Fractions 554/13,239/77,416/42 is 27540448
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Greatest Common Factor
We found the factors 13,77,42 . The biggest common factor number is the GCF number.
So the greatest common factor 13,77,42 is 1.
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 554/13, 239/77, 416/42?
Answer: LCM of Numerators as per given numbers 554/13, 239/77, 416/42 is
LCM of Numerators i.e. for 554,239,416 is 27540448
GCF of denominators i.e. for 13,77,42 is 1.
Thus, LCM of Fractions is 27540448.Finally, LCM of Fractions for 554/13, 239/77, 416/42 is 27540448.