Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 225/704, 379/463, 754/156 quickly i.e. 64297350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 225/704, 379/463, 754/156 is 64297350.
LCM(225/704, 379/463, 754/156) = 64297350
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 225/704,379/463,754/156
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 225,379,754
Least Common Multiple of Numerators i.e. LCM of 225,379,754 is 64297350.
GCF of Denominators means GCF of 704,463,156 as per the given fractions.
GCF of 704,463,156 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 225,379,754
Given numbers has no common factors except 1. So, there LCM is their product i.e 64297350
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 225,379,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(225,379,754) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(225,379,754) x common factors =1 x 1 = 1
LCM(225,379,754) = ( 225 × 379 × 754 ) / 1
LCM(225,379,754) = 64297350 / 1
LCM(225,379,754) = 64297350
Lets's calculate GCF of 704,463,156
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64297350/1
Therefore the LCM of Fractions 225/704,379/463,754/156 is 64297350
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Greatest Common Factor
We found the factors 704,463,156 . The biggest common factor number is the GCF number.
So the greatest common factor 704,463,156 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 225/704, 379/463, 754/156?
Answer: LCM of Numerators as per given numbers 225/704, 379/463, 754/156 is
LCM of Numerators i.e. for 225,379,754 is 64297350
GCF of denominators i.e. for 704,463,156 is 1.
Thus, LCM of Fractions is 64297350.Finally, LCM of Fractions for 225/704, 379/463, 754/156 is 64297350.