Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/76, 94/10, 74/90, 74/562 quickly i.e. 39997 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/76, 94/10, 74/90, 74/562 is 39997.
LCM(23/76, 94/10, 74/90, 74/562) = 39997
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/76,94/10,74/90,74/562
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 23,94,74,74
Least Common Multiple of Numerators i.e. LCM of 23,94,74,74 is 79994.
GCF of Denominators means GCF of 76,10,90,562 as per the given fractions.
GCF of 76,10,90,562 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,94,74,74
2 | 23, 94, 74, 74 |
37 | 23, 47, 37, 37 |
23, 47, 1, 1 |
∴ So the LCM of the given numbers is 2 x 37 x 23 x 47 x 1 x 1 = 79994
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 23,94,74,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,94,74,74) = 1
common factors(in case of two or more numbers have common factors) = 148
GCF(23,94,74,74) x common factors =1 x 148 = 148
LCM(23,94,74,74) = ( 23 × 94 × 74 × 74 ) / 148
LCM(23,94,74,74) = 11839112 / 148
LCM(23,94,74,74) = 79994
Lets's calculate GCF of 76,10,90,562
2 | 76, 10, 90, 562 |
38, 5, 45, 281 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79994/2
Therefore the LCM of Fractions 23/76,94/10,74/90,74/562 is 39997
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Greatest Common Factor
We found the factors 76,10,90,562 . The biggest common factor number is the GCF number.
So the greatest common factor 76,10,90,562 is 2.
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 23/76, 94/10, 74/90, 74/562?
Answer: LCM of Numerators as per given numbers 23/76, 94/10, 74/90, 74/562 is
LCM of Numerators i.e. for 23,94,74,74 is 79994
GCF of denominators i.e. for 76,10,90,562 is 2.
Thus, LCM of Fractions is 39997.Finally, LCM of Fractions for 23/76, 94/10, 74/90, 74/562 is 39997.