Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 710/188, 8386/428 quickly i.e. 2977030/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 710/188, 8386/428 is 2977030/4.
LCM(710/188, 8386/428) = 2977030/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 710/188,8386/428
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 710,8386
Least Common Multiple of Numerators i.e. LCM of 710,8386 is 2977030.
GCF of Denominators means GCF of 188,428 as per the given fractions.
GCF of 188,428 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 710,8386
2 | 710, 8386 |
355, 4193 |
∴ So the LCM of the given numbers is 2 x 355 x 4193 = 2977030
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 710,8386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,8386) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(710,8386) x common factors =2 x 1 = 2
LCM(710,8386) = ( 710 × 8386 ) / 2
LCM(710,8386) = 5954060 / 2
LCM(710,8386) = 2977030
Lets's calculate GCF of 188,428
2 | 188, 428 |
2 | 94, 214 |
47, 107 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2977030/4
Therefore the LCM of Fractions 710/188,8386/428 is 2977030/4
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1,2,4,107,214,428
Greatest Common Factor
We found the factors 188,428 . The biggest common factor number is the GCF number.
So the greatest common factor 188,428 is 4.
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 710/188, 8386/428?
Answer: LCM of Numerators as per given numbers 710/188, 8386/428 is
LCM of Numerators i.e. for 710,8386 is 2977030
GCF of denominators i.e. for 188,428 is 4.
Thus, LCM of Fractions is 2977030/4.Finally, LCM of Fractions for 710/188, 8386/428 is 2977030/4.