LCM of 361, 690, 579, 299, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 690, 579, 299, 567 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 361, 690, 579, 299, 567. So, keep reading to learn more.
Given numbers are 361,690,579,299,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,690,579,299,567 is 118118727090.
Find LCM of 361,690,579,299,567 with Prime Factorization
| 3 | 361, 690, 579, 299, 567 |
| 23 | 361, 230, 193, 299, 189 |
| 361, 10, 193, 13, 189 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 361 x 10 x 193 x 13 x 189 = 118118727090
Therefore, the lowest common multiple of 361,690,579,299,567 is 118118727090.
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.
361 x 690 x 579 x 299 x 567 = 24450576507630
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.
361 : 1, 19, 361
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
579 : 1, 3, 193, 579
299 : 1, 13, 23, 299
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,690,579,299,567, is 1.
Now, the common factors can be found like this.
361:19x 19
690:2x 3x 5x 23
579:3x 193
299:13x 23
567:3x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 23 = 207
Therefore, the value for common factors is 207.
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 = 24450576507630/(1x207)
LCM = 24450576507630/207
LCM = 118118727090
Thus, we can understand that the LCM of 361,690,579,299,567 is 118118727090.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 361, 690, 579, 299, 567
1. What is the LCM of 361, 690, 579, 299, 567?
Answer: LCM of 361, 690, 579, 299, 567 is 118118727090.
2. How to calculate the LCM of 361, 690, 579, 299, 567?
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 361, 690, 579, 299, 567.
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}.