Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 546/318, 3145/386 quickly i.e. 858585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 546/318, 3145/386 is 858585.
LCM(546/318, 3145/386) = 858585
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 546/318,3145/386
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 546,3145
Least Common Multiple of Numerators i.e. LCM of 546,3145 is 1717170.
GCF of Denominators means GCF of 318,386 as per the given fractions.
GCF of 318,386 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 546,3145
Given numbers has no common factors except 1. So, there LCM is their product i.e 1717170
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 546,3145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,3145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(546,3145) x common factors =1 x 1 = 1
LCM(546,3145) = ( 546 × 3145 ) / 1
LCM(546,3145) = 1717170 / 1
LCM(546,3145) = 1717170
Lets's calculate GCF of 318,386
2 | 318, 386 |
159, 193 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1717170/2
Therefore the LCM of Fractions 546/318,3145/386 is 858585
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Greatest Common Factor
We found the factors 318,386 . The biggest common factor number is the GCF number.
So the greatest common factor 318,386 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 546/318, 3145/386?
Answer: LCM of Numerators as per given numbers 546/318, 3145/386 is
LCM of Numerators i.e. for 546,3145 is 1717170
GCF of denominators i.e. for 318,386 is 2.
Thus, LCM of Fractions is 858585.Finally, LCM of Fractions for 546/318, 3145/386 is 858585.