Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8358/832, 8638/8502 quickly i.e. 5156886/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8358/832, 8638/8502 is 5156886/26.
LCM(8358/832, 8638/8502) = 5156886/26
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8358/832,8638/8502
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 8358,8638
Least Common Multiple of Numerators i.e. LCM of 8358,8638 is 5156886.
GCF of Denominators means GCF of 832,8502 as per the given fractions.
GCF of 832,8502 is 26 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8358,8638
2 | 8358, 8638 |
7 | 4179, 4319 |
597, 617 |
∴ So the LCM of the given numbers is 2 x 7 x 597 x 617 = 5156886
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 8358,8638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8358,8638) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(8358,8638) x common factors =14 x 1 = 14
LCM(8358,8638) = ( 8358 × 8638 ) / 14
LCM(8358,8638) = 72196404 / 14
LCM(8358,8638) = 5156886
Lets's calculate GCF of 832,8502
2 | 832, 8502 |
13 | 416, 4251 |
32, 327 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5156886/26
Therefore the LCM of Fractions 8358/832,8638/8502 is 5156886/26
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Factors of 8502
List of positive integer factors of 8502 that divides 8502 without a remainder.
1,2,3,6,13,26,39,78,109,218,327,654,1417,2834,4251,8502
Greatest Common Factor
We found the factors 832,8502 . The biggest common factor number is the GCF number.
So the greatest common factor 832,8502 is 26.
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 8358/832, 8638/8502?
Answer: LCM of Numerators as per given numbers 8358/832, 8638/8502 is
LCM of Numerators i.e. for 8358,8638 is 5156886
GCF of denominators i.e. for 832,8502 is 26.
Thus, LCM of Fractions is 5156886/26.Finally, LCM of Fractions for 8358/832, 8638/8502 is 5156886/26.