LCM of 630, 462, 600, 700, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 630, 462, 600, 700, 946 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 630, 462, 600, 700, 946. So, keep reading to learn more.
Given numbers are 630,462,600,700,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,462,600,700,946 is 5959800.
Find LCM of 630,462,600,700,946 with Prime Factorization
| 2 | 630, 462, 600, 700, 946 |
| 2 | 315, 231, 300, 350, 473 |
| 3 | 315, 231, 150, 175, 473 |
| 5 | 105, 77, 50, 175, 473 |
| 5 | 21, 77, 10, 35, 473 |
| 7 | 21, 77, 2, 7, 473 |
| 11 | 3, 11, 2, 1, 473 |
| 3, 1, 2, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 7 x 11 x 3 x 1 x 2 x 1 x 43 = 5959800
Therefore, the lowest common multiple of 630,462,600,700,946 is 5959800.
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.
630 x 462 x 600 x 700 x 946 = 115643959200000
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.
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
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
946 : 1, 2, 11, 22, 43, 86, 473, 946
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,462,600,700,946, is 2.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
462:2x 3x 7x 11
600:2x 2x 2x 3x 5x 5
700:2x 2x 5x 5x 7
946:2x 11x 43
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 2x 2x 3x 3x 5x 5x 5x 7x 7x 11 = 9702000
Therefore, the value for common factors is 9702000.
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 = 115643959200000/(2x9702000)
LCM = 115643959200000/19404000
LCM = 5959800
Thus, we can understand that the LCM of 630,462,600,700,946 is 5959800.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 630, 462, 600, 700, 946
1. What is the LCM of 630, 462, 600, 700, 946?
Answer: LCM of 630, 462, 600, 700, 946 is 5959800.
2. How to calculate the LCM of 630, 462, 600, 700, 946?
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 630, 462, 600, 700, 946.
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}.