Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8030/108, 9070/2240 quickly i.e. 7283210/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8030/108, 9070/2240 is 7283210/4.
LCM(8030/108, 9070/2240) = 7283210/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8030/108,9070/2240
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 8030,9070
Least Common Multiple of Numerators i.e. LCM of 8030,9070 is 7283210.
GCF of Denominators means GCF of 108,2240 as per the given fractions.
GCF of 108,2240 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8030,9070
2 | 8030, 9070 |
5 | 4015, 4535 |
803, 907 |
∴ So the LCM of the given numbers is 2 x 5 x 803 x 907 = 7283210
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 8030,9070 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8030,9070) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(8030,9070) x common factors =10 x 1 = 10
LCM(8030,9070) = ( 8030 × 9070 ) / 10
LCM(8030,9070) = 72832100 / 10
LCM(8030,9070) = 7283210
Lets's calculate GCF of 108,2240
2 | 108, 2240 |
2 | 54, 1120 |
27, 560 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7283210/4
Therefore the LCM of Fractions 8030/108,9070/2240 is 7283210/4
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Factors of 2240
List of positive integer factors of 2240 that divides 2240 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,140,160,224,280,320,448,560,1120,2240
Greatest Common Factor
We found the factors 108,2240 . The biggest common factor number is the GCF number.
So the greatest common factor 108,2240 is 4.
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 8030/108, 9070/2240?
Answer: LCM of Numerators as per given numbers 8030/108, 9070/2240 is
LCM of Numerators i.e. for 8030,9070 is 7283210
GCF of denominators i.e. for 108,2240 is 4.
Thus, LCM of Fractions is 7283210/4.Finally, LCM of Fractions for 8030/108, 9070/2240 is 7283210/4.