Find the LCM of 532, 624, 704, 381 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 532, 624, 704, 381. So, keep reading to learn more.
Given numbers are 532,624,704,381
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,624,704,381 is 463759296.
Find LCM of 532,624,704,381 with Prime Factorization
2 | 532, 624, 704, 381 |
2 | 266, 312, 352, 381 |
2 | 133, 156, 176, 381 |
2 | 133, 78, 88, 381 |
3 | 133, 39, 44, 381 |
133, 13, 44, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 133 x 13 x 44 x 127 = 463759296
Therefore, the lowest common multiple of 532,624,704,381 is 463759296.
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.
532 x 624 x 704 x 381 = 89041784832
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
381 : 1, 3, 127, 381
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,624,704,381, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
624:2x 2x 2x 2x 3x 13
704:2x 2x 2x 2x 2x 2x 11
381:3x 127
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 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 89041784832/(1x192)
LCM = 89041784832/192
LCM = 463759296
Thus, we can understand that the LCM of 532,624,704,381 is 463759296.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 532, 624, 704, 381?
Answer: LCM of 532, 624, 704, 381 is 463759296.
2. How to calculate the LCM of 532, 624, 704, 381?
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 532, 624, 704, 381.
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}.