Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/441, 278/771, 375/157 quickly i.e. 5525250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/441, 278/771, 375/157 is 5525250.
LCM(53/441, 278/771, 375/157) = 5525250
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/441,278/771,375/157
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 53,278,375
Least Common Multiple of Numerators i.e. LCM of 53,278,375 is 5525250.
GCF of Denominators means GCF of 441,771,157 as per the given fractions.
GCF of 441,771,157 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,278,375
Given numbers has no common factors except 1. So, there LCM is their product i.e 5525250
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 53,278,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,278,375) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,278,375) x common factors =1 x 1 = 1
LCM(53,278,375) = ( 53 × 278 × 375 ) / 1
LCM(53,278,375) = 5525250 / 1
LCM(53,278,375) = 5525250
Lets's calculate GCF of 441,771,157
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5525250/1
Therefore the LCM of Fractions 53/441,278/771,375/157 is 5525250
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1,157
Greatest Common Factor
We found the factors 441,771,157 . The biggest common factor number is the GCF number.
So the greatest common factor 441,771,157 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 53/441, 278/771, 375/157?
Answer: LCM of Numerators as per given numbers 53/441, 278/771, 375/157 is
LCM of Numerators i.e. for 53,278,375 is 5525250
GCF of denominators i.e. for 441,771,157 is 1.
Thus, LCM of Fractions is 5525250.Finally, LCM of Fractions for 53/441, 278/771, 375/157 is 5525250.