Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 821/77, 222/77, 865/451 quickly i.e. 157656630/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 821/77, 222/77, 865/451 is 157656630/11.
LCM(821/77, 222/77, 865/451) = 157656630/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 821/77,222/77,865/451
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 821,222,865
Least Common Multiple of Numerators i.e. LCM of 821,222,865 is 157656630.
GCF of Denominators means GCF of 77,77,451 as per the given fractions.
GCF of 77,77,451 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 821,222,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 157656630
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 821,222,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,222,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,222,865) x common factors =1 x 1 = 1
LCM(821,222,865) = ( 821 × 222 × 865 ) / 1
LCM(821,222,865) = 157656630 / 1
LCM(821,222,865) = 157656630
Lets's calculate GCF of 77,77,451
11 | 77, 77, 451 |
7, 7, 41 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157656630/11
Therefore the LCM of Fractions 821/77,222/77,865/451 is 157656630/11
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Greatest Common Factor
We found the factors 77,77,451 . The biggest common factor number is the GCF number.
So the greatest common factor 77,77,451 is 11.
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 821/77, 222/77, 865/451?
Answer: LCM of Numerators as per given numbers 821/77, 222/77, 865/451 is
LCM of Numerators i.e. for 821,222,865 is 157656630
GCF of denominators i.e. for 77,77,451 is 11.
Thus, LCM of Fractions is 157656630/11.Finally, LCM of Fractions for 821/77, 222/77, 865/451 is 157656630/11.