Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/860, 730/301, 202/662 quickly i.e. 2433090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/860, 730/301, 202/662 is 2433090.
LCM(66/860, 730/301, 202/662) = 2433090
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/860,730/301,202/662
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 66,730,202
Least Common Multiple of Numerators i.e. LCM of 66,730,202 is 2433090.
GCF of Denominators means GCF of 860,301,662 as per the given fractions.
GCF of 860,301,662 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,730,202
2 | 66, 730, 202 |
33, 365, 101 |
∴ So the LCM of the given numbers is 2 x 33 x 365 x 101 = 2433090
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 66,730,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,730,202) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(66,730,202) x common factors =2 x 2 = 4
LCM(66,730,202) = ( 66 × 730 × 202 ) / 4
LCM(66,730,202) = 9732360 / 4
LCM(66,730,202) = 2433090
Lets's calculate GCF of 860,301,662
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2433090/1
Therefore the LCM of Fractions 66/860,730/301,202/662 is 2433090
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Greatest Common Factor
We found the factors 860,301,662 . The biggest common factor number is the GCF number.
So the greatest common factor 860,301,662 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 66/860, 730/301, 202/662?
Answer: LCM of Numerators as per given numbers 66/860, 730/301, 202/662 is
LCM of Numerators i.e. for 66,730,202 is 2433090
GCF of denominators i.e. for 860,301,662 is 1.
Thus, LCM of Fractions is 2433090.Finally, LCM of Fractions for 66/860, 730/301, 202/662 is 2433090.