Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/222, 90/576, 502/547 quickly i.e. 1106910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/222, 90/576, 502/547 is 1106910.
LCM(98/222, 90/576, 502/547) = 1106910
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/222,90/576,502/547
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 98,90,502
Least Common Multiple of Numerators i.e. LCM of 98,90,502 is 1106910.
GCF of Denominators means GCF of 222,576,547 as per the given fractions.
GCF of 222,576,547 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,90,502
2 | 98, 90, 502 |
49, 45, 251 |
∴ So the LCM of the given numbers is 2 x 49 x 45 x 251 = 1106910
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 98,90,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,90,502) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(98,90,502) x common factors =2 x 2 = 4
LCM(98,90,502) = ( 98 × 90 × 502 ) / 4
LCM(98,90,502) = 4427640 / 4
LCM(98,90,502) = 1106910
Lets's calculate GCF of 222,576,547
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1106910/1
Therefore the LCM of Fractions 98/222,90/576,502/547 is 1106910
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 576
List of positive integer factors of 576 that divides 576 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576
Factors of 547
List of positive integer factors of 547 that divides 547 without a remainder.
1,547
Greatest Common Factor
We found the factors 222,576,547 . The biggest common factor number is the GCF number.
So the greatest common factor 222,576,547 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 98/222, 90/576, 502/547?
Answer: LCM of Numerators as per given numbers 98/222, 90/576, 502/547 is
LCM of Numerators i.e. for 98,90,502 is 1106910
GCF of denominators i.e. for 222,576,547 is 1.
Thus, LCM of Fractions is 1106910.Finally, LCM of Fractions for 98/222, 90/576, 502/547 is 1106910.