Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7890/160, 5540/577 quickly i.e. 4371060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7890/160, 5540/577 is 4371060.
LCM(7890/160, 5540/577) = 4371060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7890/160,5540/577
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 7890,5540
Least Common Multiple of Numerators i.e. LCM of 7890,5540 is 4371060.
GCF of Denominators means GCF of 160,577 as per the given fractions.
GCF of 160,577 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7890,5540
2 | 7890, 5540 |
5 | 3945, 2770 |
789, 554 |
∴ So the LCM of the given numbers is 2 x 5 x 789 x 554 = 4371060
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 7890,5540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7890,5540) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(7890,5540) x common factors =10 x 1 = 10
LCM(7890,5540) = ( 7890 × 5540 ) / 10
LCM(7890,5540) = 43710600 / 10
LCM(7890,5540) = 4371060
Lets's calculate GCF of 160,577
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4371060/1
Therefore the LCM of Fractions 7890/160,5540/577 is 4371060
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Factors of 577
List of positive integer factors of 577 that divides 577 without a remainder.
1,577
Greatest Common Factor
We found the factors 160,577 . The biggest common factor number is the GCF number.
So the greatest common factor 160,577 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 7890/160, 5540/577?
Answer: LCM of Numerators as per given numbers 7890/160, 5540/577 is
LCM of Numerators i.e. for 7890,5540 is 4371060
GCF of denominators i.e. for 160,577 is 1.
Thus, LCM of Fractions is 4371060.Finally, LCM of Fractions for 7890/160, 5540/577 is 4371060.