Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1361/426, 8654/151 quickly i.e. 11778094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1361/426, 8654/151 is 11778094.
LCM(1361/426, 8654/151) = 11778094
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1361/426,8654/151
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 1361,8654
Least Common Multiple of Numerators i.e. LCM of 1361,8654 is 11778094.
GCF of Denominators means GCF of 426,151 as per the given fractions.
GCF of 426,151 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1361,8654
Given numbers has no common factors except 1. So, there LCM is their product i.e 11778094
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 1361,8654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1361,8654) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1361,8654) x common factors =1 x 1 = 1
LCM(1361,8654) = ( 1361 × 8654 ) / 1
LCM(1361,8654) = 11778094 / 1
LCM(1361,8654) = 11778094
Lets's calculate GCF of 426,151
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11778094/1
Therefore the LCM of Fractions 1361/426,8654/151 is 11778094
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Greatest Common Factor
We found the factors 426,151 . The biggest common factor number is the GCF number.
So the greatest common factor 426,151 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 1361/426, 8654/151?
Answer: LCM of Numerators as per given numbers 1361/426, 8654/151 is
LCM of Numerators i.e. for 1361,8654 is 11778094
GCF of denominators i.e. for 426,151 is 1.
Thus, LCM of Fractions is 11778094.Finally, LCM of Fractions for 1361/426, 8654/151 is 11778094.