Find the LCM of 376, 484, 695, 132, 282 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 376, 484, 695, 132, 282. So, keep reading to learn more.
Given numbers are 376,484,695,132,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 376,484,695,132,282 is 94859160.
Find LCM of 376,484,695,132,282 with Prime Factorization
2 | 376, 484, 695, 132, 282 |
2 | 188, 242, 695, 66, 141 |
3 | 94, 121, 695, 33, 141 |
11 | 94, 121, 695, 11, 47 |
47 | 94, 1, 695, 11, 47 |
2, 1, 695, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 47 x 2 x 1 x 695 x 11 x 1 = 94859160
Therefore, the lowest common multiple of 376,484,695,132,282 is 94859160.
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.
376 x 484 x 695 x 132 x 282 = 4708049829120
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.
376 : 1, 2, 4, 8, 47, 94, 188, 376
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
695 : 1, 5, 139, 695
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
282 : 1, 2, 3, 6, 47, 94, 141, 282
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,484,695,132,282, is 1.
Now, the common factors can be found like this.
376:2x 2x 2x 47
484:2x 2x 11x 11
695:5x 139
132:2x 2x 3x 11
282:2x 3x 47
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 3x 11x 47 = 49632
Therefore, the value for common factors is 49632.
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 = 4708049829120/(1x49632)
LCM = 4708049829120/49632
LCM = 94859160
Thus, we can understand that the LCM of 376,484,695,132,282 is 94859160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 376, 484, 695, 132, 282?
Answer: LCM of 376, 484, 695, 132, 282 is 94859160.
2. How to calculate the LCM of 376, 484, 695, 132, 282?
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 376, 484, 695, 132, 282.
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}.