Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 456/63, 763/72, 955/841 quickly i.e. 332271240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 456/63, 763/72, 955/841 is 332271240.
LCM(456/63, 763/72, 955/841) = 332271240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 456/63,763/72,955/841
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 456,763,955
Least Common Multiple of Numerators i.e. LCM of 456,763,955 is 332271240.
GCF of Denominators means GCF of 63,72,841 as per the given fractions.
GCF of 63,72,841 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 456,763,955
Given numbers has no common factors except 1. So, there LCM is their product i.e 332271240
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 456,763,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,763,955) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(456,763,955) x common factors =1 x 1 = 1
LCM(456,763,955) = ( 456 × 763 × 955 ) / 1
LCM(456,763,955) = 332271240 / 1
LCM(456,763,955) = 332271240
Lets's calculate GCF of 63,72,841
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 332271240/1
Therefore the LCM of Fractions 456/63,763/72,955/841 is 332271240
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Greatest Common Factor
We found the factors 63,72,841 . The biggest common factor number is the GCF number.
So the greatest common factor 63,72,841 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 456/63, 763/72, 955/841?
Answer: LCM of Numerators as per given numbers 456/63, 763/72, 955/841 is
LCM of Numerators i.e. for 456,763,955 is 332271240
GCF of denominators i.e. for 63,72,841 is 1.
Thus, LCM of Fractions is 332271240.Finally, LCM of Fractions for 456/63, 763/72, 955/841 is 332271240.