Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9520/682, 1254/1120 quickly i.e. 2984520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9520/682, 1254/1120 is 2984520.
LCM(9520/682, 1254/1120) = 2984520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9520/682,1254/1120
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 9520,1254
Least Common Multiple of Numerators i.e. LCM of 9520,1254 is 5969040.
GCF of Denominators means GCF of 682,1120 as per the given fractions.
GCF of 682,1120 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9520,1254
2 | 9520, 1254 |
4760, 627 |
∴ So the LCM of the given numbers is 2 x 4760 x 627 = 5969040
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 9520,1254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9520,1254) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9520,1254) x common factors =2 x 1 = 2
LCM(9520,1254) = ( 9520 × 1254 ) / 2
LCM(9520,1254) = 11938080 / 2
LCM(9520,1254) = 5969040
Lets's calculate GCF of 682,1120
2 | 682, 1120 |
341, 560 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5969040/2
Therefore the LCM of Fractions 9520/682,1254/1120 is 2984520
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Factors of 1120
List of positive integer factors of 1120 that divides 1120 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,70,80,112,140,160,224,280,560,1120
Greatest Common Factor
We found the factors 682,1120 . The biggest common factor number is the GCF number.
So the greatest common factor 682,1120 is 2.
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 9520/682, 1254/1120?
Answer: LCM of Numerators as per given numbers 9520/682, 1254/1120 is
LCM of Numerators i.e. for 9520,1254 is 5969040
GCF of denominators i.e. for 682,1120 is 2.
Thus, LCM of Fractions is 2984520.Finally, LCM of Fractions for 9520/682, 1254/1120 is 2984520.