Find the LCM of 429, 706, 121, 407, 793 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 429, 706, 121, 407, 793. So, keep reading to learn more.
Given numbers are 429,706,121,407,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,706,121,407,793 is 7519452798.
Find LCM of 429,706,121,407,793 with Prime Factorization
11 | 429, 706, 121, 407, 793 |
13 | 39, 706, 11, 37, 793 |
3, 706, 11, 37, 61 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 3 x 706 x 11 x 37 x 61 = 7519452798
Therefore, the lowest common multiple of 429,706,121,407,793 is 7519452798.
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.
429 x 706 x 121 x 407 x 793 = 11828099251254
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
706 : 1, 2, 353, 706
121 : 1, 11, 121
407 : 1, 11, 37, 407
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,706,121,407,793, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
706:2x 353
121:11x 11
407:11x 37
793:13x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11x 13 = 1573
Therefore, the value for common factors is 1573.
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 = 11828099251254/(1x1573)
LCM = 11828099251254/1573
LCM = 7519452798
Thus, we can understand that the LCM of 429,706,121,407,793 is 7519452798.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 429, 706, 121, 407, 793?
Answer: LCM of 429, 706, 121, 407, 793 is 7519452798.
2. How to calculate the LCM of 429, 706, 121, 407, 793?
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 429, 706, 121, 407, 793.
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}.