Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/901, 609/776, 298/777 quickly i.e. 9618546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/901, 609/776, 298/777 is 9618546.
LCM(53/901, 609/776, 298/777) = 9618546
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/901,609/776,298/777
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 53,609,298
Least Common Multiple of Numerators i.e. LCM of 53,609,298 is 9618546.
GCF of Denominators means GCF of 901,776,777 as per the given fractions.
GCF of 901,776,777 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,609,298
Given numbers has no common factors except 1. So, there LCM is their product i.e 9618546
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 53,609,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,609,298) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,609,298) x common factors =1 x 1 = 1
LCM(53,609,298) = ( 53 × 609 × 298 ) / 1
LCM(53,609,298) = 9618546 / 1
LCM(53,609,298) = 9618546
Lets's calculate GCF of 901,776,777
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9618546/1
Therefore the LCM of Fractions 53/901,609/776,298/777 is 9618546
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Greatest Common Factor
We found the factors 901,776,777 . The biggest common factor number is the GCF number.
So the greatest common factor 901,776,777 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 53/901, 609/776, 298/777?
Answer: LCM of Numerators as per given numbers 53/901, 609/776, 298/777 is
LCM of Numerators i.e. for 53,609,298 is 9618546
GCF of denominators i.e. for 901,776,777 is 1.
Thus, LCM of Fractions is 9618546.Finally, LCM of Fractions for 53/901, 609/776, 298/777 is 9618546.