Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/185, 98/573, 562/953 quickly i.e. 2230578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/185, 98/573, 562/953 is 2230578.
LCM(81/185, 98/573, 562/953) = 2230578
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/185,98/573,562/953
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 81,98,562
Least Common Multiple of Numerators i.e. LCM of 81,98,562 is 2230578.
GCF of Denominators means GCF of 185,573,953 as per the given fractions.
GCF of 185,573,953 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,98,562
2 | 81, 98, 562 |
81, 49, 281 |
∴ So the LCM of the given numbers is 2 x 81 x 49 x 281 = 2230578
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 81,98,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,98,562) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(81,98,562) x common factors =1 x 2 = 2
LCM(81,98,562) = ( 81 × 98 × 562 ) / 2
LCM(81,98,562) = 4461156 / 2
LCM(81,98,562) = 2230578
Lets's calculate GCF of 185,573,953
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2230578/1
Therefore the LCM of Fractions 81/185,98/573,562/953 is 2230578
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Factors of 573
List of positive integer factors of 573 that divides 573 without a remainder.
1,3,191,573
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Greatest Common Factor
We found the factors 185,573,953 . The biggest common factor number is the GCF number.
So the greatest common factor 185,573,953 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 81/185, 98/573, 562/953?
Answer: LCM of Numerators as per given numbers 81/185, 98/573, 562/953 is
LCM of Numerators i.e. for 81,98,562 is 2230578
GCF of denominators i.e. for 185,573,953 is 1.
Thus, LCM of Fractions is 2230578.Finally, LCM of Fractions for 81/185, 98/573, 562/953 is 2230578.