Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5064/692, 1738/244 quickly i.e. 1100154 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5064/692, 1738/244 is 1100154.
LCM(5064/692, 1738/244) = 1100154
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5064/692,1738/244
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 5064,1738
Least Common Multiple of Numerators i.e. LCM of 5064,1738 is 4400616.
GCF of Denominators means GCF of 692,244 as per the given fractions.
GCF of 692,244 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5064,1738
2 | 5064, 1738 |
2532, 869 |
∴ So the LCM of the given numbers is 2 x 2532 x 869 = 4400616
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 5064,1738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5064,1738) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(5064,1738) x common factors =2 x 1 = 2
LCM(5064,1738) = ( 5064 × 1738 ) / 2
LCM(5064,1738) = 8801232 / 2
LCM(5064,1738) = 4400616
Lets's calculate GCF of 692,244
2 | 692, 244 |
2 | 346, 122 |
173, 61 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4400616/4
Therefore the LCM of Fractions 5064/692,1738/244 is 1100154
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Greatest Common Factor
We found the factors 692,244 . The biggest common factor number is the GCF number.
So the greatest common factor 692,244 is 4.
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 5064/692, 1738/244?
Answer: LCM of Numerators as per given numbers 5064/692, 1738/244 is
LCM of Numerators i.e. for 5064,1738 is 4400616
GCF of denominators i.e. for 692,244 is 4.
Thus, LCM of Fractions is 1100154.Finally, LCM of Fractions for 5064/692, 1738/244 is 1100154.