Find the LCM of 564, 137, 699, 795, 943 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, 137, 699, 795, 943. So, keep reading to learn more.
Given numbers are 564,137,699,795,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,137,699,795,943 is 4498970638380.
Find LCM of 564,137,699,795,943 with Prime Factorization
3 | 564, 137, 699, 795, 943 |
188, 137, 233, 265, 943 |
Multiply the prime numbers at the bottom and the left side.
3 x 188 x 137 x 233 x 265 x 943 = 4498970638380
Therefore, the lowest common multiple of 564,137,699,795,943 is 4498970638380.
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 137 x 699 x 795 x 943 = 40490735745420
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
137 : 1, 137
699 : 1, 3, 233, 699
795 : 1, 3, 5, 15, 53, 159, 265, 795
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,137,699,795,943, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
137:137
699:3x 233
795:3x 5x 53
943:23x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 40490735745420/(1x9)
LCM = 40490735745420/9
LCM = 4498970638380
Thus, we can understand that the LCM of 564,137,699,795,943 is 4498970638380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 564, 137, 699, 795, 943?
Answer: LCM of 564, 137, 699, 795, 943 is 4498970638380.
2. How to calculate the LCM of 564, 137, 699, 795, 943?
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, 137, 699, 795, 943.
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}.