LCM of 638, 605, 363, 956, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 605, 363, 956, 407 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 638, 605, 363, 956, 407. So, keep reading to learn more.
Given numbers are 638,605,363,956,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,605,363,956,407 is 1861805220.
Find LCM of 638,605,363,956,407 with Prime Factorization
| 2 | 638, 605, 363, 956, 407 |
| 11 | 319, 605, 363, 478, 407 |
| 11 | 29, 55, 33, 478, 37 |
| 29, 5, 3, 478, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 11 x 29 x 5 x 3 x 478 x 37 = 1861805220
Therefore, the lowest common multiple of 638,605,363,956,407 is 1861805220.
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.
638 x 605 x 363 x 956 x 407 = 54517380452040
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
605 : 1, 5, 11, 55, 121, 605
363 : 1, 3, 11, 33, 121, 363
956 : 1, 2, 4, 239, 478, 956
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,605,363,956,407, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
605:5x 11x 11
363:3x 11x 11
956:2x 2x 239
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11x 11x 11 = 29282
Therefore, the value for common factors is 29282.
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 = 54517380452040/(1x29282)
LCM = 54517380452040/29282
LCM = 1861805220
Thus, we can understand that the LCM of 638,605,363,956,407 is 1861805220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 638, 605, 363, 956, 407
1. What is the LCM of 638, 605, 363, 956, 407?
Answer: LCM of 638, 605, 363, 956, 407 is 1861805220.
2. How to calculate the LCM of 638, 605, 363, 956, 407?
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 638, 605, 363, 956, 407.
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}.