Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/74, 68/16, 57/35, 90/29 quickly i.e. 58140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/74, 68/16, 57/35, 90/29 is 58140.
LCM(76/74, 68/16, 57/35, 90/29) = 58140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/74,68/16,57/35,90/29
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 76,68,57,90
Least Common Multiple of Numerators i.e. LCM of 76,68,57,90 is 58140.
GCF of Denominators means GCF of 74,16,35,29 as per the given fractions.
GCF of 74,16,35,29 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,68,57,90
2 | 76, 68, 57, 90 |
2 | 38, 34, 57, 45 |
3 | 19, 17, 57, 45 |
19 | 19, 17, 19, 15 |
1, 17, 1, 15 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 1 x 17 x 1 x 15 = 58140
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 76,68,57,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,68,57,90) = 1
common factors(in case of two or more numbers have common factors) = 456
GCF(76,68,57,90) x common factors =1 x 456 = 456
LCM(76,68,57,90) = ( 76 × 68 × 57 × 90 ) / 456
LCM(76,68,57,90) = 26511840 / 456
LCM(76,68,57,90) = 58140
Lets's calculate GCF of 74,16,35,29
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58140/1
Therefore the LCM of Fractions 76/74,68/16,57/35,90/29 is 58140
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Greatest Common Factor
We found the factors 74,16,35,29 . The biggest common factor number is the GCF number.
So the greatest common factor 74,16,35,29 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 76/74, 68/16, 57/35, 90/29?
Answer: LCM of Numerators as per given numbers 76/74, 68/16, 57/35, 90/29 is
LCM of Numerators i.e. for 76,68,57,90 is 58140
GCF of denominators i.e. for 74,16,35,29 is 1.
Thus, LCM of Fractions is 58140.Finally, LCM of Fractions for 76/74, 68/16, 57/35, 90/29 is 58140.