Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 664/364, 951/124 quickly i.e. 157866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 664/364, 951/124 is 157866.
LCM(664/364, 951/124) = 157866
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 664/364,951/124
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 664,951
Least Common Multiple of Numerators i.e. LCM of 664,951 is 631464.
GCF of Denominators means GCF of 364,124 as per the given fractions.
GCF of 364,124 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 664,951
Given numbers has no common factors except 1. So, there LCM is their product i.e 631464
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 664,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(664,951) x common factors =1 x 1 = 1
LCM(664,951) = ( 664 × 951 ) / 1
LCM(664,951) = 631464 / 1
LCM(664,951) = 631464
Lets's calculate GCF of 364,124
2 | 364, 124 |
2 | 182, 62 |
91, 31 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 631464/4
Therefore the LCM of Fractions 664/364,951/124 is 157866
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Greatest Common Factor
We found the factors 364,124 . The biggest common factor number is the GCF number.
So the greatest common factor 364,124 is 4.
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 664/364, 951/124?
Answer: LCM of Numerators as per given numbers 664/364, 951/124 is
LCM of Numerators i.e. for 664,951 is 631464
GCF of denominators i.e. for 364,124 is 4.
Thus, LCM of Fractions is 157866.Finally, LCM of Fractions for 664/364, 951/124 is 157866.