LCM of 4004, 3454
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 4004, 3454 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 4004, 3454. So, keep reading to learn more.
Given numbers are 4004,3454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 4004,3454 is 628628.
Find LCM of 4004,3454 with Prime Factorization
| 2 | 4004, 3454 |
| 11 | 2002, 1727 |
| 182, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 182 x 157 = 628628
Therefore, the lowest common multiple of 4004,3454 is 628628.
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.
4004 x 3454 = 13829816
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.
4004 : 1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002, 4004
3454 : 1, 2, 11, 22, 157, 314, 1727, 3454
22 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4004,3454, is 22.
Now, the common factors can be found like this.
4004:2x 2x 7x 11x 13
3454:2x 11x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 13829816/(22x1)
LCM = 13829816/22
LCM = 628628
Thus, we can understand that the LCM of 4004,3454 is 628628.
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FAQs on LCM of 4004, 3454
1. What is the LCM of 4004, 3454?
Answer: LCM of 4004, 3454 is 628628.
2. How to calculate the LCM of 4004, 3454?
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 4004, 3454.
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}.