LCM of 565, 805, 299, 572
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 805, 299, 572 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 565, 805, 299, 572. So, keep reading to learn more.
Given numbers are 565,805,299,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,805,299,572 is 52031980.
Find LCM of 565,805,299,572 with Prime Factorization
| 5 | 565, 805, 299, 572 |
| 13 | 113, 161, 299, 572 |
| 23 | 113, 161, 23, 44 |
| 113, 7, 1, 44 |
Multiply the prime numbers at the bottom and the left side.
5 x 13 x 23 x 113 x 7 x 1 x 44 = 52031980
Therefore, the lowest common multiple of 565,805,299,572 is 52031980.
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.
565 x 805 x 299 x 572 = 77787810100
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.
565 : 1, 5, 113, 565
805 : 1, 5, 7, 23, 35, 115, 161, 805
299 : 1, 13, 23, 299
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,805,299,572, is 1.
Now, the common factors can be found like this.
565:5x 113
805:5x 7x 23
299:13x 23
572:2x 2x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 13x 23 = 1495
Therefore, the value for common factors is 1495.
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 = 77787810100/(1x1495)
LCM = 77787810100/1495
LCM = 52031980
Thus, we can understand that the LCM of 565,805,299,572 is 52031980.
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FAQs on LCM of 565, 805, 299, 572
1. What is the LCM of 565, 805, 299, 572?
Answer: LCM of 565, 805, 299, 572 is 52031980.
2. How to calculate the LCM of 565, 805, 299, 572?
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 565, 805, 299, 572.
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}.