Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 130/918, 454/341 quickly i.e. 29510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 130/918, 454/341 is 29510.
LCM(130/918, 454/341) = 29510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 130/918,454/341
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 130,454
Least Common Multiple of Numerators i.e. LCM of 130,454 is 29510.
GCF of Denominators means GCF of 918,341 as per the given fractions.
GCF of 918,341 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 130,454
2 | 130, 454 |
65, 227 |
∴ So the LCM of the given numbers is 2 x 65 x 227 = 29510
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 130,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,454) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(130,454) x common factors =2 x 1 = 2
LCM(130,454) = ( 130 × 454 ) / 2
LCM(130,454) = 59020 / 2
LCM(130,454) = 29510
Lets's calculate GCF of 918,341
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29510/1
Therefore the LCM of Fractions 130/918,454/341 is 29510
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Greatest Common Factor
We found the factors 918,341 . The biggest common factor number is the GCF number.
So the greatest common factor 918,341 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 130/918, 454/341?
Answer: LCM of Numerators as per given numbers 130/918, 454/341 is
LCM of Numerators i.e. for 130,454 is 29510
GCF of denominators i.e. for 918,341 is 1.
Thus, LCM of Fractions is 29510.Finally, LCM of Fractions for 130/918, 454/341 is 29510.