Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/658, 28/495, 416/687 quickly i.e. 55328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/658, 28/495, 416/687 is 55328.
LCM(38/658, 28/495, 416/687) = 55328
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/658,28/495,416/687
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 38,28,416
Least Common Multiple of Numerators i.e. LCM of 38,28,416 is 55328.
GCF of Denominators means GCF of 658,495,687 as per the given fractions.
GCF of 658,495,687 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,28,416
2 | 38, 28, 416 |
2 | 19, 14, 208 |
19, 7, 104 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 7 x 104 = 55328
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 38,28,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,28,416) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(38,28,416) x common factors =2 x 4 = 8
LCM(38,28,416) = ( 38 × 28 × 416 ) / 8
LCM(38,28,416) = 442624 / 8
LCM(38,28,416) = 55328
Lets's calculate GCF of 658,495,687
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55328/1
Therefore the LCM of Fractions 38/658,28/495,416/687 is 55328
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Greatest Common Factor
We found the factors 658,495,687 . The biggest common factor number is the GCF number.
So the greatest common factor 658,495,687 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 38/658, 28/495, 416/687?
Answer: LCM of Numerators as per given numbers 38/658, 28/495, 416/687 is
LCM of Numerators i.e. for 38,28,416 is 55328
GCF of denominators i.e. for 658,495,687 is 1.
Thus, LCM of Fractions is 55328.Finally, LCM of Fractions for 38/658, 28/495, 416/687 is 55328.