Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/69, 454/50, 290/359 quickly i.e. 2040730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/69, 454/50, 290/359 is 2040730.
LCM(62/69, 454/50, 290/359) = 2040730
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/69,454/50,290/359
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 62,454,290
Least Common Multiple of Numerators i.e. LCM of 62,454,290 is 2040730.
GCF of Denominators means GCF of 69,50,359 as per the given fractions.
GCF of 69,50,359 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,454,290
2 | 62, 454, 290 |
31, 227, 145 |
∴ So the LCM of the given numbers is 2 x 31 x 227 x 145 = 2040730
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 62,454,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,454,290) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(62,454,290) x common factors =2 x 2 = 4
LCM(62,454,290) = ( 62 × 454 × 290 ) / 4
LCM(62,454,290) = 8162920 / 4
LCM(62,454,290) = 2040730
Lets's calculate GCF of 69,50,359
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2040730/1
Therefore the LCM of Fractions 62/69,454/50,290/359 is 2040730
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1,359
Greatest Common Factor
We found the factors 69,50,359 . The biggest common factor number is the GCF number.
So the greatest common factor 69,50,359 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 62/69, 454/50, 290/359?
Answer: LCM of Numerators as per given numbers 62/69, 454/50, 290/359 is
LCM of Numerators i.e. for 62,454,290 is 2040730
GCF of denominators i.e. for 69,50,359 is 1.
Thus, LCM of Fractions is 2040730.Finally, LCM of Fractions for 62/69, 454/50, 290/359 is 2040730.