Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 464/655, 5473/5970 quickly i.e. 2539472/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 464/655, 5473/5970 is 2539472/5.
LCM(464/655, 5473/5970) = 2539472/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 464/655,5473/5970
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 464,5473
Least Common Multiple of Numerators i.e. LCM of 464,5473 is 2539472.
GCF of Denominators means GCF of 655,5970 as per the given fractions.
GCF of 655,5970 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 464,5473
Given numbers has no common factors except 1. So, there LCM is their product i.e 2539472
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 464,5473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,5473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(464,5473) x common factors =1 x 1 = 1
LCM(464,5473) = ( 464 × 5473 ) / 1
LCM(464,5473) = 2539472 / 1
LCM(464,5473) = 2539472
Lets's calculate GCF of 655,5970
5 | 655, 5970 |
131, 1194 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2539472/5
Therefore the LCM of Fractions 464/655,5473/5970 is 2539472/5
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Factors of 5970
List of positive integer factors of 5970 that divides 5970 without a remainder.
1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970
Greatest Common Factor
We found the factors 655,5970 . The biggest common factor number is the GCF number.
So the greatest common factor 655,5970 is 5.
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 464/655, 5473/5970?
Answer: LCM of Numerators as per given numbers 464/655, 5473/5970 is
LCM of Numerators i.e. for 464,5473 is 2539472
GCF of denominators i.e. for 655,5970 is 5.
Thus, LCM of Fractions is 2539472/5.Finally, LCM of Fractions for 464/655, 5473/5970 is 2539472/5.