Find the LCM of 418, 725, 532, 964, 348 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 418, 725, 532, 964, 348. So, keep reading to learn more.
Given numbers are 418,725,532,964,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,725,532,964,348 is 3067472100.
Find LCM of 418,725,532,964,348 with Prime Factorization
2 | 418, 725, 532, 964, 348 |
2 | 209, 725, 266, 482, 174 |
19 | 209, 725, 133, 241, 87 |
29 | 11, 725, 7, 241, 87 |
11, 25, 7, 241, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 29 x 11 x 25 x 7 x 241 x 3 = 3067472100
Therefore, the lowest common multiple of 418,725,532,964,348 is 3067472100.
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.
418 x 725 x 532 x 964 x 348 = 54085668067200
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
725 : 1, 5, 25, 29, 145, 725
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
964 : 1, 2, 4, 241, 482, 964
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,725,532,964,348, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
725:5x 5x 29
532:2x 2x 7x 19
964:2x 2x 241
348:2x 2x 3x 29
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 2x 2x 2x 19x 29 = 17632
Therefore, the value for common factors is 17632.
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 = 54085668067200/(1x17632)
LCM = 54085668067200/17632
LCM = 3067472100
Thus, we can understand that the LCM of 418,725,532,964,348 is 3067472100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 418, 725, 532, 964, 348?
Answer: LCM of 418, 725, 532, 964, 348 is 3067472100.
2. How to calculate the LCM of 418, 725, 532, 964, 348?
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 418, 725, 532, 964, 348.
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}.