Find the LCM of 564, 920, 242, 187, 443 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, 920, 242, 187, 443. So, keep reading to learn more.
Given numbers are 564,920,242,187,443
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,920,242,187,443 is 118207479720.
Find LCM of 564,920,242,187,443 with Prime Factorization
2 | 564, 920, 242, 187, 443 |
2 | 282, 460, 121, 187, 443 |
11 | 141, 230, 121, 187, 443 |
141, 230, 11, 17, 443 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 141 x 230 x 11 x 17 x 443 = 118207479720
Therefore, the lowest common multiple of 564,920,242,187,443 is 118207479720.
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 920 x 242 x 187 x 443 = 10402258215360
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
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
242 : 1, 2, 11, 22, 121, 242
187 : 1, 11, 17, 187
443 : 1, 443
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,920,242,187,443, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
920:2x 2x 2x 5x 23
242:2x 11x 11
187:11x 17
443:443
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 11 = 88
Therefore, the value for common factors is 88.
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 = 10402258215360/(1x88)
LCM = 10402258215360/88
LCM = 118207479720
Thus, we can understand that the LCM of 564,920,242,187,443 is 118207479720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 564, 920, 242, 187, 443?
Answer: LCM of 564, 920, 242, 187, 443 is 118207479720.
2. How to calculate the LCM of 564, 920, 242, 187, 443?
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, 920, 242, 187, 443.
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}.