Find the LCM of 355, 713, 588, 273, 651 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, 713, 588, 273, 651. So, keep reading to learn more.
Given numbers are 355,713,588,273,651
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,713,588,273,651 is 1934811060.
Find LCM of 355,713,588,273,651 with Prime Factorization
3 | 355, 713, 588, 273, 651 |
7 | 355, 713, 196, 91, 217 |
31 | 355, 713, 28, 13, 31 |
355, 23, 28, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 31 x 355 x 23 x 28 x 13 x 1 = 1934811060
Therefore, the lowest common multiple of 355,713,588,273,651 is 1934811060.
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 713 x 588 x 273 x 651 = 26450802001260
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
713 : 1, 23, 31, 713
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
273 : 1, 3, 7, 13, 21, 39, 91, 273
651 : 1, 3, 7, 21, 31, 93, 217, 651
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,713,588,273,651, is 1.
Now, the common factors can be found like this.
355:5x 71
713:23x 31
588:2x 2x 3x 7x 7
273:3x 7x 13
651:3x 7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 7x 31 = 13671
Therefore, the value for common factors is 13671.
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 = 26450802001260/(1x13671)
LCM = 26450802001260/13671
LCM = 1934811060
Thus, we can understand that the LCM of 355,713,588,273,651 is 1934811060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 355, 713, 588, 273, 651?
Answer: LCM of 355, 713, 588, 273, 651 is 1934811060.
2. How to calculate the LCM of 355, 713, 588, 273, 651?
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, 713, 588, 273, 651.
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}.