Find the LCM of 641, 649, 304, 767, 699 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 641, 649, 304, 767, 699. So, keep reading to learn more.
Given numbers are 641,649,304,767,699
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 641,649,304,767,699 is 1149203230032.
Find LCM of 641,649,304,767,699 with Prime Factorization
59 | 641, 649, 304, 767, 699 |
641, 11, 304, 13, 699 |
Multiply the prime numbers at the bottom and the left side.
59 x 641 x 11 x 304 x 13 x 699 = 1149203230032
Therefore, the lowest common multiple of 641,649,304,767,699 is 1149203230032.
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.
641 x 649 x 304 x 767 x 699 = 67802990571888
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.
641 : 1, 641
649 : 1, 11, 59, 649
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
767 : 1, 13, 59, 767
699 : 1, 3, 233, 699
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 641,649,304,767,699, is 1.
Now, the common factors can be found like this.
641:641
649:11x 59
304:2x 2x 2x 2x 19
767:13x 59
699:3x 233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
59 = 59
Therefore, the value for common factors is 59.
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 = 67802990571888/(1x59)
LCM = 67802990571888/59
LCM = 1149203230032
Thus, we can understand that the LCM of 641,649,304,767,699 is 1149203230032.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 641, 649, 304, 767, 699?
Answer: LCM of 641, 649, 304, 767, 699 is 1149203230032.
2. How to calculate the LCM of 641, 649, 304, 767, 699?
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 641, 649, 304, 767, 699.
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}.