Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 544/65, 761/49, 649/476 quickly i.e. 268675616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 544/65, 761/49, 649/476 is 268675616.
LCM(544/65, 761/49, 649/476) = 268675616
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 544/65,761/49,649/476
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 544,761,649
Least Common Multiple of Numerators i.e. LCM of 544,761,649 is 268675616.
GCF of Denominators means GCF of 65,49,476 as per the given fractions.
GCF of 65,49,476 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 544,761,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 268675616
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 544,761,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,761,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(544,761,649) x common factors =1 x 1 = 1
LCM(544,761,649) = ( 544 × 761 × 649 ) / 1
LCM(544,761,649) = 268675616 / 1
LCM(544,761,649) = 268675616
Lets's calculate GCF of 65,49,476
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268675616/1
Therefore the LCM of Fractions 544/65,761/49,649/476 is 268675616
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Greatest Common Factor
We found the factors 65,49,476 . The biggest common factor number is the GCF number.
So the greatest common factor 65,49,476 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 544/65, 761/49, 649/476?
Answer: LCM of Numerators as per given numbers 544/65, 761/49, 649/476 is
LCM of Numerators i.e. for 544,761,649 is 268675616
GCF of denominators i.e. for 65,49,476 is 1.
Thus, LCM of Fractions is 268675616.Finally, LCM of Fractions for 544/65, 761/49, 649/476 is 268675616.