Find the LCM of 553, 884, 798, 765, 893 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 553, 884, 798, 765, 893. So, keep reading to learn more.
Given numbers are 553,884,798,765,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 553,884,798,765,893 is 19644517620.
Find LCM of 553,884,798,765,893 with Prime Factorization
2 | 553, 884, 798, 765, 893 |
3 | 553, 442, 399, 765, 893 |
7 | 553, 442, 133, 255, 893 |
17 | 79, 442, 19, 255, 893 |
19 | 79, 26, 19, 15, 893 |
79, 26, 1, 15, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 19 x 79 x 26 x 1 x 15 x 47 = 19644517620
Therefore, the lowest common multiple of 553,884,798,765,893 is 19644517620.
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.
553 x 884 x 798 x 765 x 893 = 266497526032920
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.
553 : 1, 7, 79, 553
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,884,798,765,893, is 1.
Now, the common factors can be found like this.
553:7x 79
884:2x 2x 13x 17
798:2x 3x 7x 19
765:3x 3x 5x 17
893:19x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 17x 19 = 13566
Therefore, the value for common factors is 13566.
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 = 266497526032920/(1x13566)
LCM = 266497526032920/13566
LCM = 19644517620
Thus, we can understand that the LCM of 553,884,798,765,893 is 19644517620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 553, 884, 798, 765, 893?
Answer: LCM of 553, 884, 798, 765, 893 is 19644517620.
2. How to calculate the LCM of 553, 884, 798, 765, 893?
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 553, 884, 798, 765, 893.
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}.