Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/63, 47/91, 62/24, 16/946 quickly i.e. 23312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/63, 47/91, 62/24, 16/946 is 23312.
LCM(62/63, 47/91, 62/24, 16/946) = 23312
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/63,47/91,62/24,16/946
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 62,47,62,16
Least Common Multiple of Numerators i.e. LCM of 62,47,62,16 is 23312.
GCF of Denominators means GCF of 63,91,24,946 as per the given fractions.
GCF of 63,91,24,946 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,47,62,16
2 | 62, 47, 62, 16 |
31 | 31, 47, 31, 8 |
1, 47, 1, 8 |
∴ So the LCM of the given numbers is 2 x 31 x 1 x 47 x 1 x 8 = 23312
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 62,47,62,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,47,62,16) = 1
common factors(in case of two or more numbers have common factors) = 124
GCF(62,47,62,16) x common factors =1 x 124 = 124
LCM(62,47,62,16) = ( 62 × 47 × 62 × 16 ) / 124
LCM(62,47,62,16) = 2890688 / 124
LCM(62,47,62,16) = 23312
Lets's calculate GCF of 63,91,24,946
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23312/1
Therefore the LCM of Fractions 62/63,47/91,62/24,16/946 is 23312
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 63,91,24,946 . The biggest common factor number is the GCF number.
So the greatest common factor 63,91,24,946 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 62/63, 47/91, 62/24, 16/946?
Answer: LCM of Numerators as per given numbers 62/63, 47/91, 62/24, 16/946 is
LCM of Numerators i.e. for 62,47,62,16 is 23312
GCF of denominators i.e. for 63,91,24,946 is 1.
Thus, LCM of Fractions is 23312.Finally, LCM of Fractions for 62/63, 47/91, 62/24, 16/946 is 23312.