LCM of 407, 654, 287, 567, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 407, 654, 287, 567, 476 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 407, 654, 287, 567, 476. So, keep reading to learn more.
Given numbers are 407,654,287,567,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,654,287,567,476 is 70128852948.
Find LCM of 407,654,287,567,476 with Prime Factorization
| 2 | 407, 654, 287, 567, 476 |
| 3 | 407, 327, 287, 567, 238 |
| 7 | 407, 109, 287, 189, 238 |
| 407, 109, 41, 27, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 407 x 109 x 41 x 27 x 34 = 70128852948
Therefore, the lowest common multiple of 407,654,287,567,476 is 70128852948.
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.
407 x 654 x 287 x 567 x 476 = 20617882766712
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.
407 : 1, 11, 37, 407
654 : 1, 2, 3, 6, 109, 218, 327, 654
287 : 1, 7, 41, 287
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,654,287,567,476, is 1.
Now, the common factors can be found like this.
407:11x 37
654:2x 3x 109
287:7x 41
567:3x 3x 3x 3x 7
476:2x 2x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 7 = 294
Therefore, the value for common factors is 294.
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 = 20617882766712/(1x294)
LCM = 20617882766712/294
LCM = 70128852948
Thus, we can understand that the LCM of 407,654,287,567,476 is 70128852948.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 407, 654, 287, 567, 476
1. What is the LCM of 407, 654, 287, 567, 476?
Answer: LCM of 407, 654, 287, 567, 476 is 70128852948.
2. How to calculate the LCM of 407, 654, 287, 567, 476?
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 407, 654, 287, 567, 476.
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}.