Find the LCM of 704, 953, 788, 667, 147 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 704, 953, 788, 667, 147. So, keep reading to learn more.
Given numbers are 704,953,788,667,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,953,788,667,147 is 12959103385536.
Find LCM of 704,953,788,667,147 with Prime Factorization
2 | 704, 953, 788, 667, 147 |
2 | 352, 953, 394, 667, 147 |
176, 953, 197, 667, 147 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 176 x 953 x 197 x 667 x 147 = 12959103385536
Therefore, the lowest common multiple of 704,953,788,667,147 is 12959103385536.
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.
704 x 953 x 788 x 667 x 147 = 51836413542144
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
953 : 1, 953
788 : 1, 2, 4, 197, 394, 788
667 : 1, 23, 29, 667
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,953,788,667,147, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
953:953
788:2x 2x 197
667:23x 29
147:3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 51836413542144/(1x4)
LCM = 51836413542144/4
LCM = 12959103385536
Thus, we can understand that the LCM of 704,953,788,667,147 is 12959103385536.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 704, 953, 788, 667, 147?
Answer: LCM of 704, 953, 788, 667, 147 is 12959103385536.
2. How to calculate the LCM of 704, 953, 788, 667, 147?
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 704, 953, 788, 667, 147.
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}.