LCM of 355, 456, 778, 168, 591
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 355, 456, 778, 168, 591 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 355, 456, 778, 168, 591. So, keep reading to learn more.
Given numbers are 355,456,778,168,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,456,778,168,591 is 86837450280.
Find LCM of 355,456,778,168,591 with Prime Factorization
| 2 | 355, 456, 778, 168, 591 |
| 2 | 355, 228, 389, 84, 591 |
| 2 | 355, 114, 389, 42, 591 |
| 3 | 355, 57, 389, 21, 591 |
| 355, 19, 389, 7, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 355 x 19 x 389 x 7 x 197 = 86837450280
Therefore, the lowest common multiple of 355,456,778,168,591 is 86837450280.
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.
355 x 456 x 778 x 168 x 591 = 12504592840320
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.
355 : 1, 5, 71, 355
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
778 : 1, 2, 389, 778
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,456,778,168,591, is 1.
Now, the common factors can be found like this.
355:5x 71
456:2x 2x 2x 3x 19
778:2x 389
168:2x 2x 2x 3x 7
591:3x 197
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 12504592840320/(1x144)
LCM = 12504592840320/144
LCM = 86837450280
Thus, we can understand that the LCM of 355,456,778,168,591 is 86837450280.
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FAQs on LCM of 355, 456, 778, 168, 591
1. What is the LCM of 355, 456, 778, 168, 591?
Answer: LCM of 355, 456, 778, 168, 591 is 86837450280.
2. How to calculate the LCM of 355, 456, 778, 168, 591?
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 355, 456, 778, 168, 591.
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}.