Find the LCM of 400, 570, 399, 959, 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 400, 570, 399, 959, 694. So, keep reading to learn more.
Given numbers are 400,570,399,959,694
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 400,570,399,959,694 is 7587224400.
Find LCM of 400,570,399,959,694 with Prime Factorization
2 | 400, 570, 399, 959, 694 |
3 | 200, 285, 399, 959, 347 |
5 | 200, 95, 133, 959, 347 |
7 | 40, 19, 133, 959, 347 |
19 | 40, 19, 19, 137, 347 |
40, 1, 1, 137, 347 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 19 x 40 x 1 x 1 x 137 x 347 = 7587224400
Therefore, the lowest common multiple of 400,570,399,959,694 is 7587224400.
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.
400 x 570 x 399 x 959 x 694 = 60546050712000
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.
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
399 : 1, 3, 7, 19, 21, 57, 133, 399
959 : 1, 7, 137, 959
694 : 1, 2, 347, 694
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,570,399,959,694, is 1.
Now, the common factors can be found like this.
400:2x 2x 2x 2x 5x 5
570:2x 3x 5x 19
399:3x 7x 19
959:7x 137
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.
2x 2x 3x 5x 7x 19 = 7980
Therefore, the value for common factors is 7980.
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 = 60546050712000/(1x7980)
LCM = 60546050712000/7980
LCM = 7587224400
Thus, we can understand that the LCM of 400,570,399,959,694 is 7587224400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 400, 570, 399, 959, 694?
Answer: LCM of 400, 570, 399, 959, 694 is 7587224400.
2. How to calculate the LCM of 400, 570, 399, 959, 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 400, 570, 399, 959, 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}.