Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 154/597, 3419/9968 quickly i.e. 526526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 154/597, 3419/9968 is 526526.
LCM(154/597, 3419/9968) = 526526
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 154/597,3419/9968
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 154,3419
Least Common Multiple of Numerators i.e. LCM of 154,3419 is 526526.
GCF of Denominators means GCF of 597,9968 as per the given fractions.
GCF of 597,9968 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 154,3419
Given numbers has no common factors except 1. So, there LCM is their product i.e 526526
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 154,3419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,3419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(154,3419) x common factors =1 x 1 = 1
LCM(154,3419) = ( 154 × 3419 ) / 1
LCM(154,3419) = 526526 / 1
LCM(154,3419) = 526526
Lets's calculate GCF of 597,9968
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 526526/1
Therefore the LCM of Fractions 154/597,3419/9968 is 526526
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Factors of 9968
List of positive integer factors of 9968 that divides 9968 without a remainder.
1,2,4,7,8,14,16,28,56,89,112,178,356,623,712,1246,1424,2492,4984,9968
Greatest Common Factor
We found the factors 597,9968 . The biggest common factor number is the GCF number.
So the greatest common factor 597,9968 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 154/597, 3419/9968?
Answer: LCM of Numerators as per given numbers 154/597, 3419/9968 is
LCM of Numerators i.e. for 154,3419 is 526526
GCF of denominators i.e. for 597,9968 is 1.
Thus, LCM of Fractions is 526526.Finally, LCM of Fractions for 154/597, 3419/9968 is 526526.