Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 922/620, 549/462, 182/382 quickly i.e. 23031099 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 922/620, 549/462, 182/382 is 23031099.
LCM(922/620, 549/462, 182/382) = 23031099
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 922/620,549/462,182/382
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 922,549,182
Least Common Multiple of Numerators i.e. LCM of 922,549,182 is 46062198.
GCF of Denominators means GCF of 620,462,382 as per the given fractions.
GCF of 620,462,382 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 922,549,182
2 | 922, 549, 182 |
461, 549, 91 |
∴ So the LCM of the given numbers is 2 x 461 x 549 x 91 = 46062198
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 922,549,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,549,182) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(922,549,182) x common factors =1 x 2 = 2
LCM(922,549,182) = ( 922 × 549 × 182 ) / 2
LCM(922,549,182) = 92124396 / 2
LCM(922,549,182) = 46062198
Lets's calculate GCF of 620,462,382
2 | 620, 462, 382 |
310, 231, 191 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46062198/2
Therefore the LCM of Fractions 922/620,549/462,182/382 is 23031099
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Greatest Common Factor
We found the factors 620,462,382 . The biggest common factor number is the GCF number.
So the greatest common factor 620,462,382 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 922/620, 549/462, 182/382?
Answer: LCM of Numerators as per given numbers 922/620, 549/462, 182/382 is
LCM of Numerators i.e. for 922,549,182 is 46062198
GCF of denominators i.e. for 620,462,382 is 2.
Thus, LCM of Fractions is 23031099.Finally, LCM of Fractions for 922/620, 549/462, 182/382 is 23031099.