Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 651/77, 431/9646 quickly i.e. 40083 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 651/77, 431/9646 is 40083.
LCM(651/77, 431/9646) = 40083
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 651/77,431/9646
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 651,431
Least Common Multiple of Numerators i.e. LCM of 651,431 is 280581.
GCF of Denominators means GCF of 77,9646 as per the given fractions.
GCF of 77,9646 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 651,431
Given numbers has no common factors except 1. So, there LCM is their product i.e 280581
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 651,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(651,431) x common factors =1 x 1 = 1
LCM(651,431) = ( 651 × 431 ) / 1
LCM(651,431) = 280581 / 1
LCM(651,431) = 280581
Lets's calculate GCF of 77,9646
7 | 77, 9646 |
11, 1378 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280581/7
Therefore the LCM of Fractions 651/77,431/9646 is 40083
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 9646
List of positive integer factors of 9646 that divides 9646 without a remainder.
1,2,7,13,14,26,53,91,106,182,371,689,742,1378,4823,9646
Greatest Common Factor
We found the factors 77,9646 . The biggest common factor number is the GCF number.
So the greatest common factor 77,9646 is 7.
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 651/77, 431/9646?
Answer: LCM of Numerators as per given numbers 651/77, 431/9646 is
LCM of Numerators i.e. for 651,431 is 280581
GCF of denominators i.e. for 77,9646 is 7.
Thus, LCM of Fractions is 40083.Finally, LCM of Fractions for 651/77, 431/9646 is 40083.