Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 560/237, 7675/120 quickly i.e. 859600/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 560/237, 7675/120 is 859600/3.
LCM(560/237, 7675/120) = 859600/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 560/237,7675/120
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 560,7675
Least Common Multiple of Numerators i.e. LCM of 560,7675 is 859600.
GCF of Denominators means GCF of 237,120 as per the given fractions.
GCF of 237,120 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 560,7675
5 | 560, 7675 |
112, 1535 |
∴ So the LCM of the given numbers is 5 x 112 x 1535 = 859600
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 560,7675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,7675) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(560,7675) x common factors =5 x 1 = 5
LCM(560,7675) = ( 560 × 7675 ) / 5
LCM(560,7675) = 4298000 / 5
LCM(560,7675) = 859600
Lets's calculate GCF of 237,120
3 | 237, 120 |
79, 40 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 859600/3
Therefore the LCM of Fractions 560/237,7675/120 is 859600/3
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Greatest Common Factor
We found the factors 237,120 . The biggest common factor number is the GCF number.
So the greatest common factor 237,120 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 560/237, 7675/120?
Answer: LCM of Numerators as per given numbers 560/237, 7675/120 is
LCM of Numerators i.e. for 560,7675 is 859600
GCF of denominators i.e. for 237,120 is 3.
Thus, LCM of Fractions is 859600/3.Finally, LCM of Fractions for 560/237, 7675/120 is 859600/3.