Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/53, 412/15, 770/361 quickly i.e. 158620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/53, 412/15, 770/361 is 158620.
LCM(77/53, 412/15, 770/361) = 158620
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/53,412/15,770/361
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 77,412,770
Least Common Multiple of Numerators i.e. LCM of 77,412,770 is 158620.
GCF of Denominators means GCF of 53,15,361 as per the given fractions.
GCF of 53,15,361 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,412,770
2 | 77, 412, 770 |
7 | 77, 206, 385 |
11 | 11, 206, 55 |
1, 206, 5 |
∴ So the LCM of the given numbers is 2 x 7 x 11 x 1 x 206 x 5 = 158620
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 77,412,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,412,770) = 1
common factors(in case of two or more numbers have common factors) = 154
GCF(77,412,770) x common factors =1 x 154 = 154
LCM(77,412,770) = ( 77 × 412 × 770 ) / 154
LCM(77,412,770) = 24427480 / 154
LCM(77,412,770) = 158620
Lets's calculate GCF of 53,15,361
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158620/1
Therefore the LCM of Fractions 77/53,412/15,770/361 is 158620
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Greatest Common Factor
We found the factors 53,15,361 . The biggest common factor number is the GCF number.
So the greatest common factor 53,15,361 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 77/53, 412/15, 770/361?
Answer: LCM of Numerators as per given numbers 77/53, 412/15, 770/361 is
LCM of Numerators i.e. for 77,412,770 is 158620
GCF of denominators i.e. for 53,15,361 is 1.
Thus, LCM of Fractions is 158620.Finally, LCM of Fractions for 77/53, 412/15, 770/361 is 158620.