Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 651/92, 5668/583 quickly i.e. 3689868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 651/92, 5668/583 is 3689868.
LCM(651/92, 5668/583) = 3689868
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 651/92,5668/583
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 651,5668
Least Common Multiple of Numerators i.e. LCM of 651,5668 is 3689868.
GCF of Denominators means GCF of 92,583 as per the given fractions.
GCF of 92,583 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 651,5668
Given numbers has no common factors except 1. So, there LCM is their product i.e 3689868
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 651,5668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,5668) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(651,5668) x common factors =1 x 1 = 1
LCM(651,5668) = ( 651 × 5668 ) / 1
LCM(651,5668) = 3689868 / 1
LCM(651,5668) = 3689868
Lets's calculate GCF of 92,583
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3689868/1
Therefore the LCM of Fractions 651/92,5668/583 is 3689868
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Greatest Common Factor
We found the factors 92,583 . The biggest common factor number is the GCF number.
So the greatest common factor 92,583 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 651/92, 5668/583?
Answer: LCM of Numerators as per given numbers 651/92, 5668/583 is
LCM of Numerators i.e. for 651,5668 is 3689868
GCF of denominators i.e. for 92,583 is 1.
Thus, LCM of Fractions is 3689868.Finally, LCM of Fractions for 651/92, 5668/583 is 3689868.