Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/22, 88/53, 84/82, 63/423 quickly i.e. 72072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/22, 88/53, 84/82, 63/423 is 72072.
LCM(91/22, 88/53, 84/82, 63/423) = 72072
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/22,88/53,84/82,63/423
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 91,88,84,63
Least Common Multiple of Numerators i.e. LCM of 91,88,84,63 is 72072.
GCF of Denominators means GCF of 22,53,82,423 as per the given fractions.
GCF of 22,53,82,423 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,88,84,63
2 | 91, 88, 84, 63 |
2 | 91, 44, 42, 63 |
3 | 91, 22, 21, 63 |
7 | 91, 22, 7, 21 |
13, 22, 1, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 13 x 22 x 1 x 3 = 72072
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 91,88,84,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,88,84,63) = 1
common factors(in case of two or more numbers have common factors) = 588
GCF(91,88,84,63) x common factors =1 x 588 = 588
LCM(91,88,84,63) = ( 91 × 88 × 84 × 63 ) / 588
LCM(91,88,84,63) = 42378336 / 588
LCM(91,88,84,63) = 72072
Lets's calculate GCF of 22,53,82,423
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72072/1
Therefore the LCM of Fractions 91/22,88/53,84/82,63/423 is 72072
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Greatest Common Factor
We found the factors 22,53,82,423 . The biggest common factor number is the GCF number.
So the greatest common factor 22,53,82,423 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 91/22, 88/53, 84/82, 63/423?
Answer: LCM of Numerators as per given numbers 91/22, 88/53, 84/82, 63/423 is
LCM of Numerators i.e. for 91,88,84,63 is 72072
GCF of denominators i.e. for 22,53,82,423 is 1.
Thus, LCM of Fractions is 72072.Finally, LCM of Fractions for 91/22, 88/53, 84/82, 63/423 is 72072.