Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/14, 445/55, 546/70 quickly i.e. 485940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/14, 445/55, 546/70 is 485940.
LCM(20/14, 445/55, 546/70) = 485940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/14,445/55,546/70
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 20,445,546
Least Common Multiple of Numerators i.e. LCM of 20,445,546 is 485940.
GCF of Denominators means GCF of 14,55,70 as per the given fractions.
GCF of 14,55,70 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,445,546
2 | 20, 445, 546 |
5 | 10, 445, 273 |
2, 89, 273 |
∴ So the LCM of the given numbers is 2 x 5 x 2 x 89 x 273 = 485940
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 20,445,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,445,546) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(20,445,546) x common factors =1 x 10 = 10
LCM(20,445,546) = ( 20 × 445 × 546 ) / 10
LCM(20,445,546) = 4859400 / 10
LCM(20,445,546) = 485940
Lets's calculate GCF of 14,55,70
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 485940/1
Therefore the LCM of Fractions 20/14,445/55,546/70 is 485940
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Greatest Common Factor
We found the factors 14,55,70 . The biggest common factor number is the GCF number.
So the greatest common factor 14,55,70 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 20/14, 445/55, 546/70?
Answer: LCM of Numerators as per given numbers 20/14, 445/55, 546/70 is
LCM of Numerators i.e. for 20,445,546 is 485940
GCF of denominators i.e. for 14,55,70 is 1.
Thus, LCM of Fractions is 485940.Finally, LCM of Fractions for 20/14, 445/55, 546/70 is 485940.