Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 962/28, 850/78, 453/464 quickly i.e. 92604525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 962/28, 850/78, 453/464 is 92604525.
LCM(962/28, 850/78, 453/464) = 92604525
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 962/28,850/78,453/464
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 962,850,453
Least Common Multiple of Numerators i.e. LCM of 962,850,453 is 185209050.
GCF of Denominators means GCF of 28,78,464 as per the given fractions.
GCF of 28,78,464 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 962,850,453
2 | 962, 850, 453 |
481, 425, 453 |
∴ So the LCM of the given numbers is 2 x 481 x 425 x 453 = 185209050
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 962,850,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,850,453) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(962,850,453) x common factors =1 x 2 = 2
LCM(962,850,453) = ( 962 × 850 × 453 ) / 2
LCM(962,850,453) = 370418100 / 2
LCM(962,850,453) = 185209050
Lets's calculate GCF of 28,78,464
2 | 28, 78, 464 |
14, 39, 232 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 185209050/2
Therefore the LCM of Fractions 962/28,850/78,453/464 is 92604525
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Greatest Common Factor
We found the factors 28,78,464 . The biggest common factor number is the GCF number.
So the greatest common factor 28,78,464 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 962/28, 850/78, 453/464?
Answer: LCM of Numerators as per given numbers 962/28, 850/78, 453/464 is
LCM of Numerators i.e. for 962,850,453 is 185209050
GCF of denominators i.e. for 28,78,464 is 2.
Thus, LCM of Fractions is 92604525.Finally, LCM of Fractions for 962/28, 850/78, 453/464 is 92604525.