Find the LCM of 564, 143, 910, 294, 563 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 564, 143, 910, 294, 563. So, keep reading to learn more.
Given numbers are 564,143,910,294,563
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,143,910,294,563 is 11124733620.
Find LCM of 564,143,910,294,563 with Prime Factorization
2 | 564, 143, 910, 294, 563 |
3 | 282, 143, 455, 147, 563 |
7 | 94, 143, 455, 49, 563 |
13 | 94, 143, 65, 7, 563 |
94, 11, 5, 7, 563 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 94 x 11 x 5 x 7 x 563 = 11124733620
Therefore, the lowest common multiple of 564,143,910,294,563 is 11124733620.
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.
564 x 143 x 910 x 294 x 563 = 12148209113040
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
143 : 1, 11, 13, 143
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
563 : 1, 563
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,143,910,294,563, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
143:11x 13
910:2x 5x 7x 13
294:2x 3x 7x 7
563:563
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 7x 13 = 1092
Therefore, the value for common factors is 1092.
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 = 12148209113040/(1x1092)
LCM = 12148209113040/1092
LCM = 11124733620
Thus, we can understand that the LCM of 564,143,910,294,563 is 11124733620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 564, 143, 910, 294, 563?
Answer: LCM of 564, 143, 910, 294, 563 is 11124733620.
2. How to calculate the LCM of 564, 143, 910, 294, 563?
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 564, 143, 910, 294, 563.
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}.