Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5408/981, 6550/7679 quickly i.e. 17711200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5408/981, 6550/7679 is 17711200.
LCM(5408/981, 6550/7679) = 17711200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5408/981,6550/7679
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 5408,6550
Least Common Multiple of Numerators i.e. LCM of 5408,6550 is 17711200.
GCF of Denominators means GCF of 981,7679 as per the given fractions.
GCF of 981,7679 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5408,6550
2 | 5408, 6550 |
2704, 3275 |
∴ So the LCM of the given numbers is 2 x 2704 x 3275 = 17711200
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 5408,6550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5408,6550) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(5408,6550) x common factors =2 x 1 = 2
LCM(5408,6550) = ( 5408 × 6550 ) / 2
LCM(5408,6550) = 35422400 / 2
LCM(5408,6550) = 17711200
Lets's calculate GCF of 981,7679
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17711200/1
Therefore the LCM of Fractions 5408/981,6550/7679 is 17711200
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Factors of 7679
List of positive integer factors of 7679 that divides 7679 without a remainder.
1,7,1097,7679
Greatest Common Factor
We found the factors 981,7679 . The biggest common factor number is the GCF number.
So the greatest common factor 981,7679 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 5408/981, 6550/7679?
Answer: LCM of Numerators as per given numbers 5408/981, 6550/7679 is
LCM of Numerators i.e. for 5408,6550 is 17711200
GCF of denominators i.e. for 981,7679 is 1.
Thus, LCM of Fractions is 17711200.Finally, LCM of Fractions for 5408/981, 6550/7679 is 17711200.