Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 857/222, 450/618 quickly i.e. 64275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 857/222, 450/618 is 64275.
LCM(857/222, 450/618) = 64275
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 857/222,450/618
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 857,450
Least Common Multiple of Numerators i.e. LCM of 857,450 is 385650.
GCF of Denominators means GCF of 222,618 as per the given fractions.
GCF of 222,618 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 857,450
Given numbers has no common factors except 1. So, there LCM is their product i.e 385650
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 857,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,450) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,450) x common factors =1 x 1 = 1
LCM(857,450) = ( 857 × 450 ) / 1
LCM(857,450) = 385650 / 1
LCM(857,450) = 385650
Lets's calculate GCF of 222,618
2 | 222, 618 |
3 | 111, 309 |
37, 103 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 385650/6
Therefore the LCM of Fractions 857/222,450/618 is 64275
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Greatest Common Factor
We found the factors 222,618 . The biggest common factor number is the GCF number.
So the greatest common factor 222,618 is 6.
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 857/222, 450/618?
Answer: LCM of Numerators as per given numbers 857/222, 450/618 is
LCM of Numerators i.e. for 857,450 is 385650
GCF of denominators i.e. for 222,618 is 6.
Thus, LCM of Fractions is 64275.Finally, LCM of Fractions for 857/222, 450/618 is 64275.