Find the LCM of 986, 700, 672, 160, 454 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 986, 700, 672, 160, 454. So, keep reading to learn more.
Given numbers are 986,700,672,160,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,700,672,160,454 is 1880104800.
Find LCM of 986,700,672,160,454 with Prime Factorization
2 | 986, 700, 672, 160, 454 |
2 | 493, 350, 336, 80, 227 |
2 | 493, 175, 168, 40, 227 |
2 | 493, 175, 84, 20, 227 |
2 | 493, 175, 42, 10, 227 |
5 | 493, 175, 21, 5, 227 |
7 | 493, 35, 21, 1, 227 |
493, 5, 3, 1, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 7 x 493 x 5 x 3 x 1 x 227 = 1880104800
Therefore, the lowest common multiple of 986,700,672,160,454 is 1880104800.
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.
986 x 700 x 672 x 160 x 454 = 33691478016000
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
454 : 1, 2, 227, 454
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,700,672,160,454, is 2.
Now, the common factors can be found like this.
986:2x 17x 29
700:2x 2x 5x 5x 7
672:2x 2x 2x 2x 2x 3x 7
160:2x 2x 2x 2x 2x 5
454:2x 227
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 5x 7 = 8960
Therefore, the value for common factors is 8960.
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 = 33691478016000/(2x8960)
LCM = 33691478016000/17920
LCM = 1880104800
Thus, we can understand that the LCM of 986,700,672,160,454 is 1880104800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 986, 700, 672, 160, 454?
Answer: LCM of 986, 700, 672, 160, 454 is 1880104800.
2. How to calculate the LCM of 986, 700, 672, 160, 454?
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 986, 700, 672, 160, 454.
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}.