LCM of 790, 334, 901, 912, 758
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 790, 334, 901, 912, 758 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, 334, 901, 912, 758. So, keep reading to learn more.
Given numbers are 790,334,901,912,758
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 790,334,901,912,758 is 20543403958320.
Find LCM of 790,334,901,912,758 with Prime Factorization
| 2 | 790, 334, 901, 912, 758 |
| 395, 167, 901, 456, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 395 x 167 x 901 x 456 x 379 = 20543403958320
Therefore, the lowest common multiple of 790,334,901,912,758 is 20543403958320.
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 334 x 901 x 912 x 758 = 164347231666560
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
334 : 1, 2, 167, 334
901 : 1, 17, 53, 901
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
758 : 1, 2, 379, 758
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,334,901,912,758, is 1.
Now, the common factors can be found like this.
790:2x 5x 79
334:2x 167
901:17x 53
912:2x 2x 2x 2x 3x 19
758:2x 379
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 2 = 8
Therefore, the value for common factors is 8.
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 = 164347231666560/(1x8)
LCM = 164347231666560/8
LCM = 20543403958320
Thus, we can understand that the LCM of 790,334,901,912,758 is 20543403958320.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 790, 334, 901, 912, 758
1. What is the LCM of 790, 334, 901, 912, 758?
Answer: LCM of 790, 334, 901, 912, 758 is 20543403958320.
2. How to calculate the LCM of 790, 334, 901, 912, 758?
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, 334, 901, 912, 758.
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}.