Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 545/456, 145/362 quickly i.e. 15805/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 545/456, 145/362 is 15805/2.
LCM(545/456, 145/362) = 15805/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 545/456,145/362
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 545,145
Least Common Multiple of Numerators i.e. LCM of 545,145 is 15805.
GCF of Denominators means GCF of 456,362 as per the given fractions.
GCF of 456,362 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 545,145
5 | 545, 145 |
109, 29 |
∴ So the LCM of the given numbers is 5 x 109 x 29 = 15805
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 545,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(545,145) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(545,145) x common factors =5 x 1 = 5
LCM(545,145) = ( 545 × 145 ) / 5
LCM(545,145) = 79025 / 5
LCM(545,145) = 15805
Lets's calculate GCF of 456,362
2 | 456, 362 |
228, 181 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15805/2
Therefore the LCM of Fractions 545/456,145/362 is 15805/2
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Factors of 362
List of positive integer factors of 362 that divides 362 without a remainder.
1,2,181,362
Greatest Common Factor
We found the factors 456,362 . The biggest common factor number is the GCF number.
So the greatest common factor 456,362 is 2.
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 545/456, 145/362?
Answer: LCM of Numerators as per given numbers 545/456, 145/362 is
LCM of Numerators i.e. for 545,145 is 15805
GCF of denominators i.e. for 456,362 is 2.
Thus, LCM of Fractions is 15805/2.Finally, LCM of Fractions for 545/456, 145/362 is 15805/2.