LCM of 550, 578, 422, 315, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 550, 578, 422, 315, 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 550, 578, 422, 315, 407. So, keep reading to learn more.
Given numbers are 550,578,422,315,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 550,578,422,315,407 is 78178126950.
Find LCM of 550,578,422,315,407 with Prime Factorization
| 2 | 550, 578, 422, 315, 407 |
| 5 | 275, 289, 211, 315, 407 |
| 11 | 55, 289, 211, 63, 407 |
| 5, 289, 211, 63, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 5 x 289 x 211 x 63 x 37 = 78178126950
Therefore, the lowest common multiple of 550,578,422,315,407 is 78178126950.
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.
550 x 578 x 422 x 315 x 407 = 17199187929000
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.
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
578 : 1, 2, 17, 34, 289, 578
422 : 1, 2, 211, 422
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 550,578,422,315,407, is 1.
Now, the common factors can be found like this.
550:2x 5x 5x 11
578:2x 17x 17
422:2x 211
315:3x 3x 5x 7
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 2x 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 17199187929000/(1x220)
LCM = 17199187929000/220
LCM = 78178126950
Thus, we can understand that the LCM of 550,578,422,315,407 is 78178126950.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 550, 578, 422, 315, 407
1. What is the LCM of 550, 578, 422, 315, 407?
Answer: LCM of 550, 578, 422, 315, 407 is 78178126950.
2. How to calculate the LCM of 550, 578, 422, 315, 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 550, 578, 422, 315, 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}.