Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3896/358, 4896/7159 quickly i.e. 2384352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3896/358, 4896/7159 is 2384352.
LCM(3896/358, 4896/7159) = 2384352
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3896/358,4896/7159
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 3896,4896
Least Common Multiple of Numerators i.e. LCM of 3896,4896 is 2384352.
GCF of Denominators means GCF of 358,7159 as per the given fractions.
GCF of 358,7159 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3896,4896
2 | 3896, 4896 |
2 | 1948, 2448 |
2 | 974, 1224 |
487, 612 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 487 x 612 = 2384352
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 3896,4896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3896,4896) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(3896,4896) x common factors =8 x 1 = 8
LCM(3896,4896) = ( 3896 × 4896 ) / 8
LCM(3896,4896) = 19074816 / 8
LCM(3896,4896) = 2384352
Lets's calculate GCF of 358,7159
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2384352/1
Therefore the LCM of Fractions 3896/358,4896/7159 is 2384352
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Factors of 7159
List of positive integer factors of 7159 that divides 7159 without a remainder.
1,7159
Greatest Common Factor
We found the factors 358,7159 . The biggest common factor number is the GCF number.
So the greatest common factor 358,7159 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 3896/358, 4896/7159?
Answer: LCM of Numerators as per given numbers 3896/358, 4896/7159 is
LCM of Numerators i.e. for 3896,4896 is 2384352
GCF of denominators i.e. for 358,7159 is 1.
Thus, LCM of Fractions is 2384352.Finally, LCM of Fractions for 3896/358, 4896/7159 is 2384352.