Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1749/102, 8683/8991 quickly i.e. 5062189 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1749/102, 8683/8991 is 5062189.
LCM(1749/102, 8683/8991) = 5062189
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1749/102,8683/8991
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 1749,8683
Least Common Multiple of Numerators i.e. LCM of 1749,8683 is 15186567.
GCF of Denominators means GCF of 102,8991 as per the given fractions.
GCF of 102,8991 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1749,8683
Given numbers has no common factors except 1. So, there LCM is their product i.e 15186567
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 1749,8683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1749,8683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1749,8683) x common factors =1 x 1 = 1
LCM(1749,8683) = ( 1749 × 8683 ) / 1
LCM(1749,8683) = 15186567 / 1
LCM(1749,8683) = 15186567
Lets's calculate GCF of 102,8991
3 | 102, 8991 |
34, 2997 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15186567/3
Therefore the LCM of Fractions 1749/102,8683/8991 is 5062189
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Factors of 8991
List of positive integer factors of 8991 that divides 8991 without a remainder.
1,3,9,27,37,81,111,243,333,999,2997,8991
Greatest Common Factor
We found the factors 102,8991 . The biggest common factor number is the GCF number.
So the greatest common factor 102,8991 is 3.
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 1749/102, 8683/8991?
Answer: LCM of Numerators as per given numbers 1749/102, 8683/8991 is
LCM of Numerators i.e. for 1749,8683 is 15186567
GCF of denominators i.e. for 102,8991 is 3.
Thus, LCM of Fractions is 5062189.Finally, LCM of Fractions for 1749/102, 8683/8991 is 5062189.