Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 797/138, 4362/948 quickly i.e. 579419 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 797/138, 4362/948 is 579419.
LCM(797/138, 4362/948) = 579419
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 797/138,4362/948
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 797,4362
Least Common Multiple of Numerators i.e. LCM of 797,4362 is 3476514.
GCF of Denominators means GCF of 138,948 as per the given fractions.
GCF of 138,948 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 797,4362
Given numbers has no common factors except 1. So, there LCM is their product i.e 3476514
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 797,4362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,4362) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,4362) x common factors =1 x 1 = 1
LCM(797,4362) = ( 797 × 4362 ) / 1
LCM(797,4362) = 3476514 / 1
LCM(797,4362) = 3476514
Lets's calculate GCF of 138,948
2 | 138, 948 |
3 | 69, 474 |
23, 158 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3476514/6
Therefore the LCM of Fractions 797/138,4362/948 is 579419
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1,2,3,4,6,12,79,158,237,316,474,948
Greatest Common Factor
We found the factors 138,948 . The biggest common factor number is the GCF number.
So the greatest common factor 138,948 is 6.
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 797/138, 4362/948?
Answer: LCM of Numerators as per given numbers 797/138, 4362/948 is
LCM of Numerators i.e. for 797,4362 is 3476514
GCF of denominators i.e. for 138,948 is 6.
Thus, LCM of Fractions is 579419.Finally, LCM of Fractions for 797/138, 4362/948 is 579419.