Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 861/51, 505/9240 quickly i.e. 144935 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 861/51, 505/9240 is 144935.
LCM(861/51, 505/9240) = 144935
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 861/51,505/9240
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 861,505
Least Common Multiple of Numerators i.e. LCM of 861,505 is 434805.
GCF of Denominators means GCF of 51,9240 as per the given fractions.
GCF of 51,9240 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 861,505
Given numbers has no common factors except 1. So, there LCM is their product i.e 434805
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 861,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(861,505) x common factors =1 x 1 = 1
LCM(861,505) = ( 861 × 505 ) / 1
LCM(861,505) = 434805 / 1
LCM(861,505) = 434805
Lets's calculate GCF of 51,9240
3 | 51, 9240 |
17, 3080 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 434805/3
Therefore the LCM of Fractions 861/51,505/9240 is 144935
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 9240
List of positive integer factors of 9240 that divides 9240 without a remainder.
1,2,3,4,5,6,7,8,10,11,12,14,15,20,21,22,24,28,30,33,35,40,42,44,55,56,60,66,70,77,84,88,105,110,120,132,140,154,165,168,210,220,231,264,280,308,330,385,420,440,462,616,660,770,840,924,1155,1320,1540,1848,2310,3080,4620,9240
Greatest Common Factor
We found the factors 51,9240 . The biggest common factor number is the GCF number.
So the greatest common factor 51,9240 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 861/51, 505/9240?
Answer: LCM of Numerators as per given numbers 861/51, 505/9240 is
LCM of Numerators i.e. for 861,505 is 434805
GCF of denominators i.e. for 51,9240 is 3.
Thus, LCM of Fractions is 144935.Finally, LCM of Fractions for 861/51, 505/9240 is 144935.