Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 233/240, 666/970 quickly i.e. 155178/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 233/240, 666/970 is 155178/10.
LCM(233/240, 666/970) = 155178/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 233/240,666/970
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 233,666
Least Common Multiple of Numerators i.e. LCM of 233,666 is 155178.
GCF of Denominators means GCF of 240,970 as per the given fractions.
GCF of 240,970 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 233,666
Given numbers has no common factors except 1. So, there LCM is their product i.e 155178
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 233,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,666) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,666) x common factors =1 x 1 = 1
LCM(233,666) = ( 233 × 666 ) / 1
LCM(233,666) = 155178 / 1
LCM(233,666) = 155178
Lets's calculate GCF of 240,970
2 | 240, 970 |
5 | 120, 485 |
24, 97 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155178/10
Therefore the LCM of Fractions 233/240,666/970 is 155178/10
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Greatest Common Factor
We found the factors 240,970 . The biggest common factor number is the GCF number.
So the greatest common factor 240,970 is 10.
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 233/240, 666/970?
Answer: LCM of Numerators as per given numbers 233/240, 666/970 is
LCM of Numerators i.e. for 233,666 is 155178
GCF of denominators i.e. for 240,970 is 10.
Thus, LCM of Fractions is 155178/10.Finally, LCM of Fractions for 233/240, 666/970 is 155178/10.