LCM of 426, 768, 213, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 426, 768, 213, 629 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 426, 768, 213, 629. So, keep reading to learn more.
Given numbers are 426,768,213,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,768,213,629 is 34298112.
Find LCM of 426,768,213,629 with Prime Factorization
| 2 | 426, 768, 213, 629 |
| 3 | 213, 384, 213, 629 |
| 71 | 71, 128, 71, 629 |
| 1, 128, 1, 629 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 71 x 1 x 128 x 1 x 629 = 34298112
Therefore, the lowest common multiple of 426,768,213,629 is 34298112.
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.
426 x 768 x 213 x 629 = 43832987136
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.
426 : 1, 2, 3, 6, 71, 142, 213, 426
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
213 : 1, 3, 71, 213
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,768,213,629, is 1.
Now, the common factors can be found like this.
426:2x 3x 71
768:2x 2x 2x 2x 2x 2x 2x 2x 3
213:3x 71
629:17x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 71 = 1278
Therefore, the value for common factors is 1278.
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 = 43832987136/(1x1278)
LCM = 43832987136/1278
LCM = 34298112
Thus, we can understand that the LCM of 426,768,213,629 is 34298112.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 426, 768, 213, 629
1. What is the LCM of 426, 768, 213, 629?
Answer: LCM of 426, 768, 213, 629 is 34298112.
2. How to calculate the LCM of 426, 768, 213, 629?
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 426, 768, 213, 629.
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}.