Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/23, 76/47, 91/67, 62/545 quickly i.e. 214396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/23, 76/47, 91/67, 62/545 is 214396.
LCM(28/23, 76/47, 91/67, 62/545) = 214396
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/23,76/47,91/67,62/545
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 28,76,91,62
Least Common Multiple of Numerators i.e. LCM of 28,76,91,62 is 214396.
GCF of Denominators means GCF of 23,47,67,545 as per the given fractions.
GCF of 23,47,67,545 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,76,91,62
2 | 28, 76, 91, 62 |
2 | 14, 38, 91, 31 |
7 | 7, 19, 91, 31 |
1, 19, 13, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 19 x 13 x 31 = 214396
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 28,76,91,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,76,91,62) = 1
common factors(in case of two or more numbers have common factors) = 56
GCF(28,76,91,62) x common factors =1 x 56 = 56
LCM(28,76,91,62) = ( 28 × 76 × 91 × 62 ) / 56
LCM(28,76,91,62) = 12006176 / 56
LCM(28,76,91,62) = 214396
Lets's calculate GCF of 23,47,67,545
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214396/1
Therefore the LCM of Fractions 28/23,76/47,91/67,62/545 is 214396
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Greatest Common Factor
We found the factors 23,47,67,545 . The biggest common factor number is the GCF number.
So the greatest common factor 23,47,67,545 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 28/23, 76/47, 91/67, 62/545?
Answer: LCM of Numerators as per given numbers 28/23, 76/47, 91/67, 62/545 is
LCM of Numerators i.e. for 28,76,91,62 is 214396
GCF of denominators i.e. for 23,47,67,545 is 1.
Thus, LCM of Fractions is 214396.Finally, LCM of Fractions for 28/23, 76/47, 91/67, 62/545 is 214396.