Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 639/51, 857/7806 quickly i.e. 182541 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 639/51, 857/7806 is 182541.
LCM(639/51, 857/7806) = 182541
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 639/51,857/7806
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 639,857
Least Common Multiple of Numerators i.e. LCM of 639,857 is 547623.
GCF of Denominators means GCF of 51,7806 as per the given fractions.
GCF of 51,7806 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 639,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 547623
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 639,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(639,857) x common factors =1 x 1 = 1
LCM(639,857) = ( 639 × 857 ) / 1
LCM(639,857) = 547623 / 1
LCM(639,857) = 547623
Lets's calculate GCF of 51,7806
3 | 51, 7806 |
17, 2602 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 547623/3
Therefore the LCM of Fractions 639/51,857/7806 is 182541
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 7806
List of positive integer factors of 7806 that divides 7806 without a remainder.
1,2,3,6,1301,2602,3903,7806
Greatest Common Factor
We found the factors 51,7806 . The biggest common factor number is the GCF number.
So the greatest common factor 51,7806 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 639/51, 857/7806?
Answer: LCM of Numerators as per given numbers 639/51, 857/7806 is
LCM of Numerators i.e. for 639,857 is 547623
GCF of denominators i.e. for 51,7806 is 3.
Thus, LCM of Fractions is 182541.Finally, LCM of Fractions for 639/51, 857/7806 is 182541.