LCM of 409, 290, 780, 689, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 290, 780, 689, 949 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 409, 290, 780, 689, 949. So, keep reading to learn more.
Given numbers are 409,290,780,689,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,290,780,689,949 is 35794363020.
Find LCM of 409,290,780,689,949 with Prime Factorization
| 2 | 409, 290, 780, 689, 949 |
| 5 | 409, 145, 390, 689, 949 |
| 13 | 409, 29, 78, 689, 949 |
| 409, 29, 6, 53, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 409 x 29 x 6 x 53 x 73 = 35794363020
Therefore, the lowest common multiple of 409,290,780,689,949 is 35794363020.
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.
409 x 290 x 780 x 689 x 949 = 60492473503800
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.
409 : 1, 409
290 : 1, 2, 5, 10, 29, 58, 145, 290
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
689 : 1, 13, 53, 689
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,290,780,689,949, is 1.
Now, the common factors can be found like this.
409:409
290:2x 5x 29
780:2x 2x 3x 5x 13
689:13x 53
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13x 13 = 1690
Therefore, the value for common factors is 1690.
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 = 60492473503800/(1x1690)
LCM = 60492473503800/1690
LCM = 35794363020
Thus, we can understand that the LCM of 409,290,780,689,949 is 35794363020.
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FAQs on LCM of 409, 290, 780, 689, 949
1. What is the LCM of 409, 290, 780, 689, 949?
Answer: LCM of 409, 290, 780, 689, 949 is 35794363020.
2. How to calculate the LCM of 409, 290, 780, 689, 949?
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 409, 290, 780, 689, 949.
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}.