Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/420, 73/962, 408/292 quickly i.e. 372300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/420, 73/962, 408/292 is 372300.
LCM(75/420, 73/962, 408/292) = 372300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/420,73/962,408/292
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 75,73,408
Least Common Multiple of Numerators i.e. LCM of 75,73,408 is 744600.
GCF of Denominators means GCF of 420,962,292 as per the given fractions.
GCF of 420,962,292 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,73,408
3 | 75, 73, 408 |
25, 73, 136 |
∴ So the LCM of the given numbers is 3 x 25 x 73 x 136 = 744600
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 75,73,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,73,408) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(75,73,408) x common factors =1 x 3 = 3
LCM(75,73,408) = ( 75 × 73 × 408 ) / 3
LCM(75,73,408) = 2233800 / 3
LCM(75,73,408) = 744600
Lets's calculate GCF of 420,962,292
2 | 420, 962, 292 |
210, 481, 146 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 744600/2
Therefore the LCM of Fractions 75/420,73/962,408/292 is 372300
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Greatest Common Factor
We found the factors 420,962,292 . The biggest common factor number is the GCF number.
So the greatest common factor 420,962,292 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 75/420, 73/962, 408/292?
Answer: LCM of Numerators as per given numbers 75/420, 73/962, 408/292 is
LCM of Numerators i.e. for 75,73,408 is 744600
GCF of denominators i.e. for 420,962,292 is 2.
Thus, LCM of Fractions is 372300.Finally, LCM of Fractions for 75/420, 73/962, 408/292 is 372300.