Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 407/26, 679/52, 951/155 quickly i.e. 262811703 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 407/26, 679/52, 951/155 is 262811703.
LCM(407/26, 679/52, 951/155) = 262811703
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 407/26,679/52,951/155
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 407,679,951
Least Common Multiple of Numerators i.e. LCM of 407,679,951 is 262811703.
GCF of Denominators means GCF of 26,52,155 as per the given fractions.
GCF of 26,52,155 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 407,679,951
Given numbers has no common factors except 1. So, there LCM is their product i.e 262811703
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 407,679,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,679,951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,679,951) x common factors =1 x 1 = 1
LCM(407,679,951) = ( 407 × 679 × 951 ) / 1
LCM(407,679,951) = 262811703 / 1
LCM(407,679,951) = 262811703
Lets's calculate GCF of 26,52,155
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262811703/1
Therefore the LCM of Fractions 407/26,679/52,951/155 is 262811703
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Greatest Common Factor
We found the factors 26,52,155 . The biggest common factor number is the GCF number.
So the greatest common factor 26,52,155 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 407/26, 679/52, 951/155?
Answer: LCM of Numerators as per given numbers 407/26, 679/52, 951/155 is
LCM of Numerators i.e. for 407,679,951 is 262811703
GCF of denominators i.e. for 26,52,155 is 1.
Thus, LCM of Fractions is 262811703.Finally, LCM of Fractions for 407/26, 679/52, 951/155 is 262811703.