Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 707/38, 601/8136 quickly i.e. 424907/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 707/38, 601/8136 is 424907/2.
LCM(707/38, 601/8136) = 424907/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 707/38,601/8136
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 707,601
Least Common Multiple of Numerators i.e. LCM of 707,601 is 424907.
GCF of Denominators means GCF of 38,8136 as per the given fractions.
GCF of 38,8136 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 707,601
Given numbers has no common factors except 1. So, there LCM is their product i.e 424907
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 707,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,601) x common factors =1 x 1 = 1
LCM(707,601) = ( 707 × 601 ) / 1
LCM(707,601) = 424907 / 1
LCM(707,601) = 424907
Lets's calculate GCF of 38,8136
2 | 38, 8136 |
19, 4068 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 424907/2
Therefore the LCM of Fractions 707/38,601/8136 is 424907/2
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 8136
List of positive integer factors of 8136 that divides 8136 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,113,226,339,452,678,904,1017,1356,2034,2712,4068,8136
Greatest Common Factor
We found the factors 38,8136 . The biggest common factor number is the GCF number.
So the greatest common factor 38,8136 is 2.
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 707/38, 601/8136?
Answer: LCM of Numerators as per given numbers 707/38, 601/8136 is
LCM of Numerators i.e. for 707,601 is 424907
GCF of denominators i.e. for 38,8136 is 2.
Thus, LCM of Fractions is 424907/2.Finally, LCM of Fractions for 707/38, 601/8136 is 424907/2.