Find the LCM of 893, 853, 141, 820, 468 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 893, 853, 141, 820, 468. So, keep reading to learn more.
Given numbers are 893,853,141,820,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,853,141,820,468 is 73080280260.
Find LCM of 893,853,141,820,468 with Prime Factorization
2 | 893, 853, 141, 820, 468 |
2 | 893, 853, 141, 410, 234 |
3 | 893, 853, 141, 205, 117 |
47 | 893, 853, 47, 205, 39 |
19, 853, 1, 205, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 19 x 853 x 1 x 205 x 39 = 73080280260
Therefore, the lowest common multiple of 893,853,141,820,468 is 73080280260.
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.
893 x 853 x 141 x 820 x 468 = 41217278066640
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.
893 : 1, 19, 47, 893
853 : 1, 853
141 : 1, 3, 47, 141
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,853,141,820,468, is 1.
Now, the common factors can be found like this.
893:19x 47
853:853
141:3x 47
820:2x 2x 5x 41
468:2x 2x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 47 = 564
Therefore, the value for common factors is 564.
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 = 41217278066640/(1x564)
LCM = 41217278066640/564
LCM = 73080280260
Thus, we can understand that the LCM of 893,853,141,820,468 is 73080280260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 893, 853, 141, 820, 468?
Answer: LCM of 893, 853, 141, 820, 468 is 73080280260.
2. How to calculate the LCM of 893, 853, 141, 820, 468?
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 893, 853, 141, 820, 468.
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}.