Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 709/57, 948/5922 quickly i.e. 224044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 709/57, 948/5922 is 224044.
LCM(709/57, 948/5922) = 224044
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 709/57,948/5922
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 709,948
Least Common Multiple of Numerators i.e. LCM of 709,948 is 672132.
GCF of Denominators means GCF of 57,5922 as per the given fractions.
GCF of 57,5922 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 709,948
Given numbers has no common factors except 1. So, there LCM is their product i.e 672132
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 709,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,948) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,948) x common factors =1 x 1 = 1
LCM(709,948) = ( 709 × 948 ) / 1
LCM(709,948) = 672132 / 1
LCM(709,948) = 672132
Lets's calculate GCF of 57,5922
3 | 57, 5922 |
19, 1974 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 672132/3
Therefore the LCM of Fractions 709/57,948/5922 is 224044
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 5922
List of positive integer factors of 5922 that divides 5922 without a remainder.
1,2,3,6,7,9,14,18,21,42,47,63,94,126,141,282,329,423,658,846,987,1974,2961,5922
Greatest Common Factor
We found the factors 57,5922 . The biggest common factor number is the GCF number.
So the greatest common factor 57,5922 is 3.
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 709/57, 948/5922?
Answer: LCM of Numerators as per given numbers 709/57, 948/5922 is
LCM of Numerators i.e. for 709,948 is 672132
GCF of denominators i.e. for 57,5922 is 3.
Thus, LCM of Fractions is 224044.Finally, LCM of Fractions for 709/57, 948/5922 is 224044.