Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5320/762, 1324/9259 quickly i.e. 1760920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5320/762, 1324/9259 is 1760920.
LCM(5320/762, 1324/9259) = 1760920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5320/762,1324/9259
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 5320,1324
Least Common Multiple of Numerators i.e. LCM of 5320,1324 is 1760920.
GCF of Denominators means GCF of 762,9259 as per the given fractions.
GCF of 762,9259 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5320,1324
2 | 5320, 1324 |
2 | 2660, 662 |
1330, 331 |
∴ So the LCM of the given numbers is 2 x 2 x 1330 x 331 = 1760920
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 5320,1324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5320,1324) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(5320,1324) x common factors =4 x 1 = 4
LCM(5320,1324) = ( 5320 × 1324 ) / 4
LCM(5320,1324) = 7043680 / 4
LCM(5320,1324) = 1760920
Lets's calculate GCF of 762,9259
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1760920/1
Therefore the LCM of Fractions 5320/762,1324/9259 is 1760920
Factors of 762
List of positive integer factors of 762 that divides 762 without a remainder.
1,2,3,6,127,254,381,762
Factors of 9259
List of positive integer factors of 9259 that divides 9259 without a remainder.
1,47,197,9259
Greatest Common Factor
We found the factors 762,9259 . The biggest common factor number is the GCF number.
So the greatest common factor 762,9259 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 5320/762, 1324/9259?
Answer: LCM of Numerators as per given numbers 5320/762, 1324/9259 is
LCM of Numerators i.e. for 5320,1324 is 1760920
GCF of denominators i.e. for 762,9259 is 1.
Thus, LCM of Fractions is 1760920.Finally, LCM of Fractions for 5320/762, 1324/9259 is 1760920.