LCM of 642, 748, 369, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 748, 369, 462 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 642, 748, 369, 462. So, keep reading to learn more.
Given numbers are 642,748,369,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,748,369,462 is 206732988.
Find LCM of 642,748,369,462 with Prime Factorization
| 2 | 642, 748, 369, 462 |
| 3 | 321, 374, 369, 231 |
| 11 | 107, 374, 123, 77 |
| 107, 34, 123, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 107 x 34 x 123 x 7 = 206732988
Therefore, the lowest common multiple of 642,748,369,462 is 206732988.
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.
642 x 748 x 369 x 462 = 81866263248
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
369 : 1, 3, 9, 41, 123, 369
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,748,369,462, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
748:2x 2x 11x 17
369:3x 3x 41
462:2x 3x 7x 11
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 3x 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 81866263248/(1x396)
LCM = 81866263248/396
LCM = 206732988
Thus, we can understand that the LCM of 642,748,369,462 is 206732988.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 642, 748, 369, 462
1. What is the LCM of 642, 748, 369, 462?
Answer: LCM of 642, 748, 369, 462 is 206732988.
2. How to calculate the LCM of 642, 748, 369, 462?
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 642, 748, 369, 462.
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}.