Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/79, 57/70, 92/32, 74/72 quickly i.e. 4850700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/79, 57/70, 92/32, 74/72 is 4850700.
LCM(25/79, 57/70, 92/32, 74/72) = 4850700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/79,57/70,92/32,74/72
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 25,57,92,74
Least Common Multiple of Numerators i.e. LCM of 25,57,92,74 is 4850700.
GCF of Denominators means GCF of 79,70,32,72 as per the given fractions.
GCF of 79,70,32,72 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,57,92,74
2 | 25, 57, 92, 74 |
25, 57, 46, 37 |
∴ So the LCM of the given numbers is 2 x 25 x 57 x 46 x 37 = 4850700
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 25,57,92,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,57,92,74) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(25,57,92,74) x common factors =1 x 2 = 2
LCM(25,57,92,74) = ( 25 × 57 × 92 × 74 ) / 2
LCM(25,57,92,74) = 9701400 / 2
LCM(25,57,92,74) = 4850700
Lets's calculate GCF of 79,70,32,72
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4850700/1
Therefore the LCM of Fractions 25/79,57/70,92/32,74/72 is 4850700
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Greatest Common Factor
We found the factors 79,70,32,72 . The biggest common factor number is the GCF number.
So the greatest common factor 79,70,32,72 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 25/79, 57/70, 92/32, 74/72?
Answer: LCM of Numerators as per given numbers 25/79, 57/70, 92/32, 74/72 is
LCM of Numerators i.e. for 25,57,92,74 is 4850700
GCF of denominators i.e. for 79,70,32,72 is 1.
Thus, LCM of Fractions is 4850700.Finally, LCM of Fractions for 25/79, 57/70, 92/32, 74/72 is 4850700.