Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/606, 967/233, 456/777 quickly i.e. 24252360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/606, 967/233, 456/777 is 24252360.
LCM(55/606, 967/233, 456/777) = 24252360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/606,967/233,456/777
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 55,967,456
Least Common Multiple of Numerators i.e. LCM of 55,967,456 is 24252360.
GCF of Denominators means GCF of 606,233,777 as per the given fractions.
GCF of 606,233,777 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,967,456
Given numbers has no common factors except 1. So, there LCM is their product i.e 24252360
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 55,967,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,967,456) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,967,456) x common factors =1 x 1 = 1
LCM(55,967,456) = ( 55 × 967 × 456 ) / 1
LCM(55,967,456) = 24252360 / 1
LCM(55,967,456) = 24252360
Lets's calculate GCF of 606,233,777
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24252360/1
Therefore the LCM of Fractions 55/606,967/233,456/777 is 24252360
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Factors of 233
List of positive integer factors of 233 that divides 233 without a remainder.
1,233
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 606,233,777 . The biggest common factor number is the GCF number.
So the greatest common factor 606,233,777 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 55/606, 967/233, 456/777?
Answer: LCM of Numerators as per given numbers 55/606, 967/233, 456/777 is
LCM of Numerators i.e. for 55,967,456 is 24252360
GCF of denominators i.e. for 606,233,777 is 1.
Thus, LCM of Fractions is 24252360.Finally, LCM of Fractions for 55/606, 967/233, 456/777 is 24252360.