Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1970/801, 4126/966 quickly i.e. 4064110/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1970/801, 4126/966 is 4064110/3.
LCM(1970/801, 4126/966) = 4064110/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1970/801,4126/966
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 1970,4126
Least Common Multiple of Numerators i.e. LCM of 1970,4126 is 4064110.
GCF of Denominators means GCF of 801,966 as per the given fractions.
GCF of 801,966 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1970,4126
2 | 1970, 4126 |
985, 2063 |
∴ So the LCM of the given numbers is 2 x 985 x 2063 = 4064110
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 1970,4126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1970,4126) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1970,4126) x common factors =2 x 1 = 2
LCM(1970,4126) = ( 1970 × 4126 ) / 2
LCM(1970,4126) = 8128220 / 2
LCM(1970,4126) = 4064110
Lets's calculate GCF of 801,966
3 | 801, 966 |
267, 322 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4064110/3
Therefore the LCM of Fractions 1970/801,4126/966 is 4064110/3
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Greatest Common Factor
We found the factors 801,966 . The biggest common factor number is the GCF number.
So the greatest common factor 801,966 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 1970/801, 4126/966?
Answer: LCM of Numerators as per given numbers 1970/801, 4126/966 is
LCM of Numerators i.e. for 1970,4126 is 4064110
GCF of denominators i.e. for 801,966 is 3.
Thus, LCM of Fractions is 4064110/3.Finally, LCM of Fractions for 1970/801, 4126/966 is 4064110/3.