LCM of 354, 406, 716, 510, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 354, 406, 716, 510, 580 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 354, 406, 716, 510, 580. So, keep reading to learn more.
Given numbers are 354,406,716,510,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 354,406,716,510,580 is 2186760660.
Find LCM of 354,406,716,510,580 with Prime Factorization
| 2 | 354, 406, 716, 510, 580 |
| 2 | 177, 203, 358, 255, 290 |
| 3 | 177, 203, 179, 255, 145 |
| 5 | 59, 203, 179, 85, 145 |
| 29 | 59, 203, 179, 17, 29 |
| 59, 7, 179, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 29 x 59 x 7 x 179 x 17 x 1 = 2186760660
Therefore, the lowest common multiple of 354,406,716,510,580 is 2186760660.
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.
354 x 406 x 716 x 510 x 580 = 30439708387200
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.
354 : 1, 2, 3, 6, 59, 118, 177, 354
406 : 1, 2, 7, 14, 29, 58, 203, 406
716 : 1, 2, 4, 179, 358, 716
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,406,716,510,580, is 2.
Now, the common factors can be found like this.
354:2x 3x 59
406:2x 7x 29
716:2x 2x 179
510:2x 3x 5x 17
580:2x 2x 5x 29
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 5x 29 = 6960
Therefore, the value for common factors is 6960.
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 = 30439708387200/(2x6960)
LCM = 30439708387200/13920
LCM = 2186760660
Thus, we can understand that the LCM of 354,406,716,510,580 is 2186760660.
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FAQs on LCM of 354, 406, 716, 510, 580
1. What is the LCM of 354, 406, 716, 510, 580?
Answer: LCM of 354, 406, 716, 510, 580 is 2186760660.
2. How to calculate the LCM of 354, 406, 716, 510, 580?
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 354, 406, 716, 510, 580.
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}.