Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/807, 98/660, 237/577 quickly i.e. 859362 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/807, 98/660, 237/577 is 859362.
LCM(74/807, 98/660, 237/577) = 859362
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/807,98/660,237/577
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 74,98,237
Least Common Multiple of Numerators i.e. LCM of 74,98,237 is 859362.
GCF of Denominators means GCF of 807,660,577 as per the given fractions.
GCF of 807,660,577 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,98,237
2 | 74, 98, 237 |
37, 49, 237 |
∴ So the LCM of the given numbers is 2 x 37 x 49 x 237 = 859362
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 74,98,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,98,237) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(74,98,237) x common factors =1 x 2 = 2
LCM(74,98,237) = ( 74 × 98 × 237 ) / 2
LCM(74,98,237) = 1718724 / 2
LCM(74,98,237) = 859362
Lets's calculate GCF of 807,660,577
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 859362/1
Therefore the LCM of Fractions 74/807,98/660,237/577 is 859362
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Factors of 577
List of positive integer factors of 577 that divides 577 without a remainder.
1,577
Greatest Common Factor
We found the factors 807,660,577 . The biggest common factor number is the GCF number.
So the greatest common factor 807,660,577 is 1.
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 74/807, 98/660, 237/577?
Answer: LCM of Numerators as per given numbers 74/807, 98/660, 237/577 is
LCM of Numerators i.e. for 74,98,237 is 859362
GCF of denominators i.e. for 807,660,577 is 1.
Thus, LCM of Fractions is 859362.Finally, LCM of Fractions for 74/807, 98/660, 237/577 is 859362.