Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/895, 2958/9574 quickly i.e. 38454 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/895, 2958/9574 is 38454.
LCM(78/895, 2958/9574) = 38454
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/895,2958/9574
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 78,2958
Least Common Multiple of Numerators i.e. LCM of 78,2958 is 38454.
GCF of Denominators means GCF of 895,9574 as per the given fractions.
GCF of 895,9574 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,2958
2 | 78, 2958 |
3 | 39, 1479 |
13, 493 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 493 = 38454
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 78,2958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,2958) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(78,2958) x common factors =6 x 1 = 6
LCM(78,2958) = ( 78 × 2958 ) / 6
LCM(78,2958) = 230724 / 6
LCM(78,2958) = 38454
Lets's calculate GCF of 895,9574
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38454/1
Therefore the LCM of Fractions 78/895,2958/9574 is 38454
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1,5,179,895
Factors of 9574
List of positive integer factors of 9574 that divides 9574 without a remainder.
1,2,4787,9574
Greatest Common Factor
We found the factors 895,9574 . The biggest common factor number is the GCF number.
So the greatest common factor 895,9574 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 78/895, 2958/9574?
Answer: LCM of Numerators as per given numbers 78/895, 2958/9574 is
LCM of Numerators i.e. for 78,2958 is 38454
GCF of denominators i.e. for 895,9574 is 1.
Thus, LCM of Fractions is 38454.Finally, LCM of Fractions for 78/895, 2958/9574 is 38454.