Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/222, 75/328, 426/349 quickly i.e. 10650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/222, 75/328, 426/349 is 10650.
LCM(71/222, 75/328, 426/349) = 10650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/222,75/328,426/349
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 71,75,426
Least Common Multiple of Numerators i.e. LCM of 71,75,426 is 10650.
GCF of Denominators means GCF of 222,328,349 as per the given fractions.
GCF of 222,328,349 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,75,426
3 | 71, 75, 426 |
71 | 71, 25, 142 |
1, 25, 2 |
∴ So the LCM of the given numbers is 3 x 71 x 1 x 25 x 2 = 10650
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 71,75,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,75,426) = 1
common factors(in case of two or more numbers have common factors) = 213
GCF(71,75,426) x common factors =1 x 213 = 213
LCM(71,75,426) = ( 71 × 75 × 426 ) / 213
LCM(71,75,426) = 2268450 / 213
LCM(71,75,426) = 10650
Lets's calculate GCF of 222,328,349
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10650/1
Therefore the LCM of Fractions 71/222,75/328,426/349 is 10650
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 328
List of positive integer factors of 328 that divides 328 without a remainder.
1,2,4,8,41,82,164,328
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
Greatest Common Factor
We found the factors 222,328,349 . The biggest common factor number is the GCF number.
So the greatest common factor 222,328,349 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 71/222, 75/328, 426/349?
Answer: LCM of Numerators as per given numbers 71/222, 75/328, 426/349 is
LCM of Numerators i.e. for 71,75,426 is 10650
GCF of denominators i.e. for 222,328,349 is 1.
Thus, LCM of Fractions is 10650.Finally, LCM of Fractions for 71/222, 75/328, 426/349 is 10650.