Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1461/680, 6550/552 quickly i.e. 9569550/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1461/680, 6550/552 is 9569550/8.
LCM(1461/680, 6550/552) = 9569550/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1461/680,6550/552
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 1461,6550
Least Common Multiple of Numerators i.e. LCM of 1461,6550 is 9569550.
GCF of Denominators means GCF of 680,552 as per the given fractions.
GCF of 680,552 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1461,6550
Given numbers has no common factors except 1. So, there LCM is their product i.e 9569550
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 1461,6550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1461,6550) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1461,6550) x common factors =1 x 1 = 1
LCM(1461,6550) = ( 1461 × 6550 ) / 1
LCM(1461,6550) = 9569550 / 1
LCM(1461,6550) = 9569550
Lets's calculate GCF of 680,552
2 | 680, 552 |
2 | 340, 276 |
2 | 170, 138 |
85, 69 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9569550/8
Therefore the LCM of Fractions 1461/680,6550/552 is 9569550/8
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Greatest Common Factor
We found the factors 680,552 . The biggest common factor number is the GCF number.
So the greatest common factor 680,552 is 8.
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 1461/680, 6550/552?
Answer: LCM of Numerators as per given numbers 1461/680, 6550/552 is
LCM of Numerators i.e. for 1461,6550 is 9569550
GCF of denominators i.e. for 680,552 is 8.
Thus, LCM of Fractions is 9569550/8.Finally, LCM of Fractions for 1461/680, 6550/552 is 9569550/8.