LCM of 334, 442, 704, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 334, 442, 704, 901 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 334, 442, 704, 901. So, keep reading to learn more.
Given numbers are 334,442,704,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 334,442,704,901 is 1377073984.
Find LCM of 334,442,704,901 with Prime Factorization
| 2 | 334, 442, 704, 901 |
| 17 | 167, 221, 352, 901 |
| 167, 13, 352, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 167 x 13 x 352 x 53 = 1377073984
Therefore, the lowest common multiple of 334,442,704,901 is 1377073984.
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.
334 x 442 x 704 x 901 = 93641030912
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.
334 : 1, 2, 167, 334
442 : 1, 2, 13, 17, 26, 34, 221, 442
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,442,704,901, is 1.
Now, the common factors can be found like this.
334:2x 167
442:2x 13x 17
704:2x 2x 2x 2x 2x 2x 11
901:17x 53
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 17 = 68
Therefore, the value for common factors is 68.
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 = 93641030912/(1x68)
LCM = 93641030912/68
LCM = 1377073984
Thus, we can understand that the LCM of 334,442,704,901 is 1377073984.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 334, 442, 704, 901
1. What is the LCM of 334, 442, 704, 901?
Answer: LCM of 334, 442, 704, 901 is 1377073984.
2. How to calculate the LCM of 334, 442, 704, 901?
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 334, 442, 704, 901.
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}.