Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/920, 404/848, 603/548 quickly i.e. 4445919 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/920, 404/848, 603/548 is 4445919.
LCM(73/920, 404/848, 603/548) = 4445919
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/920,404/848,603/548
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 73,404,603
Least Common Multiple of Numerators i.e. LCM of 73,404,603 is 17783676.
GCF of Denominators means GCF of 920,848,548 as per the given fractions.
GCF of 920,848,548 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,404,603
Given numbers has no common factors except 1. So, there LCM is their product i.e 17783676
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 73,404,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,404,603) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,404,603) x common factors =1 x 1 = 1
LCM(73,404,603) = ( 73 × 404 × 603 ) / 1
LCM(73,404,603) = 17783676 / 1
LCM(73,404,603) = 17783676
Lets's calculate GCF of 920,848,548
2 | 920, 848, 548 |
2 | 460, 424, 274 |
230, 212, 137 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17783676/4
Therefore the LCM of Fractions 73/920,404/848,603/548 is 4445919
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Greatest Common Factor
We found the factors 920,848,548 . The biggest common factor number is the GCF number.
So the greatest common factor 920,848,548 is 4.
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 73/920, 404/848, 603/548?
Answer: LCM of Numerators as per given numbers 73/920, 404/848, 603/548 is
LCM of Numerators i.e. for 73,404,603 is 17783676
GCF of denominators i.e. for 920,848,548 is 4.
Thus, LCM of Fractions is 4445919.Finally, LCM of Fractions for 73/920, 404/848, 603/548 is 4445919.