LCM of 778, 993, 216, 288, 346
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 778, 993, 216, 288, 346 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 778, 993, 216, 288, 346. So, keep reading to learn more.
Given numbers are 778,993,216,288,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 778,993,216,288,346 is 19245865248.
Find LCM of 778,993,216,288,346 with Prime Factorization
| 2 | 778, 993, 216, 288, 346 |
| 2 | 389, 993, 108, 144, 173 |
| 2 | 389, 993, 54, 72, 173 |
| 3 | 389, 993, 27, 36, 173 |
| 3 | 389, 331, 9, 12, 173 |
| 389, 331, 3, 4, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 389 x 331 x 3 x 4 x 173 = 19245865248
Therefore, the lowest common multiple of 778,993,216,288,346 is 19245865248.
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.
778 x 993 x 216 x 288 x 346 = 16628427574272
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.
778 : 1, 2, 389, 778
993 : 1, 3, 331, 993
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
346 : 1, 2, 173, 346
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,993,216,288,346, is 1.
Now, the common factors can be found like this.
778:2x 389
993:3x 331
216:2x 2x 2x 3x 3x 3
288:2x 2x 2x 2x 2x 3x 3
346:2x 173
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 2x 2x 2x 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 16628427574272/(1x864)
LCM = 16628427574272/864
LCM = 19245865248
Thus, we can understand that the LCM of 778,993,216,288,346 is 19245865248.
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FAQs on LCM of 778, 993, 216, 288, 346
1. What is the LCM of 778, 993, 216, 288, 346?
Answer: LCM of 778, 993, 216, 288, 346 is 19245865248.
2. How to calculate the LCM of 778, 993, 216, 288, 346?
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 778, 993, 216, 288, 346.
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}.