Find the LCM of 842, 963, 214, 893, 549 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 842, 963, 214, 893, 549. So, keep reading to learn more.
Given numbers are 842,963,214,893,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,963,214,893,549 is 44169214158.
Find LCM of 842,963,214,893,549 with Prime Factorization
2 | 842, 963, 214, 893, 549 |
3 | 421, 963, 107, 893, 549 |
3 | 421, 321, 107, 893, 183 |
107 | 421, 107, 107, 893, 61 |
421, 1, 1, 893, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 107 x 421 x 1 x 1 x 893 x 61 = 44169214158
Therefore, the lowest common multiple of 842,963,214,893,549 is 44169214158.
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.
842 x 963 x 214 x 893 x 549 = 85069906468308
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.
842 : 1, 2, 421, 842
963 : 1, 3, 9, 107, 321, 963
214 : 1, 2, 107, 214
893 : 1, 19, 47, 893
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,963,214,893,549, is 1.
Now, the common factors can be found like this.
842:2x 421
963:3x 3x 107
214:2x 107
893:19x 47
549:3x 3x 61
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 3x 107 = 1926
Therefore, the value for common factors is 1926.
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 = 85069906468308/(1x1926)
LCM = 85069906468308/1926
LCM = 44169214158
Thus, we can understand that the LCM of 842,963,214,893,549 is 44169214158.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 842, 963, 214, 893, 549?
Answer: LCM of 842, 963, 214, 893, 549 is 44169214158.
2. How to calculate the LCM of 842, 963, 214, 893, 549?
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 842, 963, 214, 893, 549.
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}.