Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/540, 16/770 quickly i.e. 464/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/540, 16/770 is 464/10.
LCM(58/540, 16/770) = 464/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/540,16/770
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 58,16
Least Common Multiple of Numerators i.e. LCM of 58,16 is 464.
GCF of Denominators means GCF of 540,770 as per the given fractions.
GCF of 540,770 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,16
2 | 58, 16 |
29, 8 |
∴ So the LCM of the given numbers is 2 x 29 x 8 = 464
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 58,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,16) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(58,16) x common factors =2 x 1 = 2
LCM(58,16) = ( 58 × 16 ) / 2
LCM(58,16) = 928 / 2
LCM(58,16) = 464
Lets's calculate GCF of 540,770
2 | 540, 770 |
5 | 270, 385 |
54, 77 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 464/10
Therefore the LCM of Fractions 58/540,16/770 is 464/10
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Factors of 770
List of positive integer factors of 770 that divides 770 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Greatest Common Factor
We found the factors 540,770 . The biggest common factor number is the GCF number.
So the greatest common factor 540,770 is 10.
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 58/540, 16/770?
Answer: LCM of Numerators as per given numbers 58/540, 16/770 is
LCM of Numerators i.e. for 58,16 is 464
GCF of denominators i.e. for 540,770 is 10.
Thus, LCM of Fractions is 464/10.Finally, LCM of Fractions for 58/540, 16/770 is 464/10.