LCM of 424, 922, 630, 933
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 424, 922, 630, 933 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 424, 922, 630, 933. So, keep reading to learn more.
Given numbers are 424,922,630,933
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 424,922,630,933 is 19148630760.
Find LCM of 424,922,630,933 with Prime Factorization
| 2 | 424, 922, 630, 933 |
| 3 | 212, 461, 315, 933 |
| 212, 461, 105, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 212 x 461 x 105 x 311 = 19148630760
Therefore, the lowest common multiple of 424,922,630,933 is 19148630760.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
424 x 922 x 630 x 933 = 229783569120
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
424 : 1, 2, 4, 8, 53, 106, 212, 424
922 : 1, 2, 461, 922
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
933 : 1, 3, 311, 933
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,922,630,933, is 1.
Now, the common factors can be found like this.
424:2x 2x 2x 53
922:2x 461
630:2x 3x 3x 5x 7
933:3x 311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3 = 12
Therefore, the value for common factors is 12.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 229783569120/(1x12)
LCM = 229783569120/12
LCM = 19148630760
Thus, we can understand that the LCM of 424,922,630,933 is 19148630760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 424, 922, 630, 933
1. What is the LCM of 424, 922, 630, 933?
Answer: LCM of 424, 922, 630, 933 is 19148630760.
2. How to calculate the LCM of 424, 922, 630, 933?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 424, 922, 630, 933.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.