Find the LCM of 212, 378, 392, 432, 968 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 212, 378, 392, 432, 968. So, keep reading to learn more.
Given numbers are 212,378,392,432,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 212,378,392,432,968 is 135750384.
Find LCM of 212,378,392,432,968 with Prime Factorization
2 | 212, 378, 392, 432, 968 |
2 | 106, 189, 196, 216, 484 |
2 | 53, 189, 98, 108, 242 |
3 | 53, 189, 49, 54, 121 |
3 | 53, 63, 49, 18, 121 |
3 | 53, 21, 49, 6, 121 |
7 | 53, 7, 49, 2, 121 |
53, 1, 7, 2, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 7 x 53 x 1 x 7 x 2 x 121 = 135750384
Therefore, the lowest common multiple of 212,378,392,432,968 is 135750384.
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.
212 x 378 x 392 x 432 x 968 = 13136293158912
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.
212 : 1, 2, 4, 53, 106, 212
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,378,392,432,968, is 2.
Now, the common factors can be found like this.
212:2x 2x 53
378:2x 3x 3x 3x 7
392:2x 2x 2x 7x 7
432:2x 2x 2x 2x 3x 3x 3
968:2x 2x 2x 11x 11
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 2x 2x 3x 3x 3x 7 = 48384
Therefore, the value for common factors is 48384.
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 = 13136293158912/(2x48384)
LCM = 13136293158912/96768
LCM = 135750384
Thus, we can understand that the LCM of 212,378,392,432,968 is 135750384.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 212, 378, 392, 432, 968?
Answer: LCM of 212, 378, 392, 432, 968 is 135750384.
2. How to calculate the LCM of 212, 378, 392, 432, 968?
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 212, 378, 392, 432, 968.
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}.