Find the LCM of 319, 649, 429, 143, 694 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 319, 649, 429, 143, 694. So, keep reading to learn more.
Given numbers are 319,649,429,143,694
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,649,429,143,694 is 509409186.
Find LCM of 319,649,429,143,694 with Prime Factorization
11 | 319, 649, 429, 143, 694 |
13 | 29, 59, 39, 13, 694 |
29, 59, 3, 1, 694 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 29 x 59 x 3 x 1 x 694 = 509409186
Therefore, the lowest common multiple of 319,649,429,143,694 is 509409186.
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.
319 x 649 x 429 x 143 x 694 = 8814307145358
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.
319 : 1, 11, 29, 319
649 : 1, 11, 59, 649
429 : 1, 3, 11, 13, 33, 39, 143, 429
143 : 1, 11, 13, 143
694 : 1, 2, 347, 694
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,649,429,143,694, is 1.
Now, the common factors can be found like this.
319:11x 29
649:11x 59
429:3x 11x 13
143:11x 13
694:2x 347
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 11x 13 = 17303
Therefore, the value for common factors is 17303.
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 = 8814307145358/(1x17303)
LCM = 8814307145358/17303
LCM = 509409186
Thus, we can understand that the LCM of 319,649,429,143,694 is 509409186.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 649, 429, 143, 694?
Answer: LCM of 319, 649, 429, 143, 694 is 509409186.
2. How to calculate the LCM of 319, 649, 429, 143, 694?
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 319, 649, 429, 143, 694.
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}.