Find the LCM of 790, 736, 152, 410, 641 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 790, 736, 152, 410, 641. So, keep reading to learn more.
Given numbers are 790,736,152,410,641
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 790,736,152,410,641 is 145167834080.
Find LCM of 790,736,152,410,641 with Prime Factorization
2 | 790, 736, 152, 410, 641 |
2 | 395, 368, 76, 205, 641 |
2 | 395, 184, 38, 205, 641 |
5 | 395, 92, 19, 205, 641 |
79, 92, 19, 41, 641 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 79 x 92 x 19 x 41 x 641 = 145167834080
Therefore, the lowest common multiple of 790,736,152,410,641 is 145167834080.
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.
790 x 736 x 152 x 410 x 641 = 23226853452800
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.
790 : 1, 2, 5, 10, 79, 158, 395, 790
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
152 : 1, 2, 4, 8, 19, 38, 76, 152
410 : 1, 2, 5, 10, 41, 82, 205, 410
641 : 1, 641
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,736,152,410,641, is 1.
Now, the common factors can be found like this.
790:2x 5x 79
736:2x 2x 2x 2x 2x 23
152:2x 2x 2x 19
410:2x 5x 41
641:641
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 2x 2x 5 = 160
Therefore, the value for common factors is 160.
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 = 23226853452800/(1x160)
LCM = 23226853452800/160
LCM = 145167834080
Thus, we can understand that the LCM of 790,736,152,410,641 is 145167834080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 790, 736, 152, 410, 641?
Answer: LCM of 790, 736, 152, 410, 641 is 145167834080.
2. How to calculate the LCM of 790, 736, 152, 410, 641?
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 790, 736, 152, 410, 641.
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}.