Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/84, 655/87, 703/188 quickly i.e. 920930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/84, 655/87, 703/188 is 920930.
LCM(38/84, 655/87, 703/188) = 920930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/84,655/87,703/188
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 38,655,703
Least Common Multiple of Numerators i.e. LCM of 38,655,703 is 920930.
GCF of Denominators means GCF of 84,87,188 as per the given fractions.
GCF of 84,87,188 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,655,703
19 | 38, 655, 703 |
2, 655, 37 |
∴ So the LCM of the given numbers is 19 x 2 x 655 x 37 = 920930
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 38,655,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,655,703) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(38,655,703) x common factors =1 x 19 = 19
LCM(38,655,703) = ( 38 × 655 × 703 ) / 19
LCM(38,655,703) = 17497670 / 19
LCM(38,655,703) = 920930
Lets's calculate GCF of 84,87,188
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 920930/1
Therefore the LCM of Fractions 38/84,655/87,703/188 is 920930
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Greatest Common Factor
We found the factors 84,87,188 . The biggest common factor number is the GCF number.
So the greatest common factor 84,87,188 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 38/84, 655/87, 703/188?
Answer: LCM of Numerators as per given numbers 38/84, 655/87, 703/188 is
LCM of Numerators i.e. for 38,655,703 is 920930
GCF of denominators i.e. for 84,87,188 is 1.
Thus, LCM of Fractions is 920930.Finally, LCM of Fractions for 38/84, 655/87, 703/188 is 920930.