LCM of 290, 535, 767, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 290, 535, 767, 609 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 290, 535, 767, 609. So, keep reading to learn more.
Given numbers are 290,535,767,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 290,535,767,609 is 499800210.
Find LCM of 290,535,767,609 with Prime Factorization
| 5 | 290, 535, 767, 609 |
| 29 | 58, 107, 767, 609 |
| 2, 107, 767, 21 |
Multiply the prime numbers at the bottom and the left side.
5 x 29 x 2 x 107 x 767 x 21 = 499800210
Therefore, the lowest common multiple of 290,535,767,609 is 499800210.
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.
290 x 535 x 767 x 609 = 72471030450
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.
290 : 1, 2, 5, 10, 29, 58, 145, 290
535 : 1, 5, 107, 535
767 : 1, 13, 59, 767
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,535,767,609, is 1.
Now, the common factors can be found like this.
290:2x 5x 29
535:5x 107
767:13x 59
609:3x 7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 29 = 145
Therefore, the value for common factors is 145.
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 = 72471030450/(1x145)
LCM = 72471030450/145
LCM = 499800210
Thus, we can understand that the LCM of 290,535,767,609 is 499800210.
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FAQs on LCM of 290, 535, 767, 609
1. What is the LCM of 290, 535, 767, 609?
Answer: LCM of 290, 535, 767, 609 is 499800210.
2. How to calculate the LCM of 290, 535, 767, 609?
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 290, 535, 767, 609.
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}.