Find the LCM of 689, 488, 336, 918, 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 689, 488, 336, 918, 147. So, keep reading to learn more.
Given numbers are 689,488,336,918,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,488,336,918,147 is 15124387824.
Find LCM of 689,488,336,918,147 with Prime Factorization
2 | 689, 488, 336, 918, 147 |
2 | 689, 244, 168, 459, 147 |
2 | 689, 122, 84, 459, 147 |
3 | 689, 61, 42, 459, 147 |
7 | 689, 61, 14, 153, 49 |
689, 61, 2, 153, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 689 x 61 x 2 x 153 x 7 = 15124387824
Therefore, the lowest common multiple of 689,488,336,918,147 is 15124387824.
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.
689 x 488 x 336 x 918 x 147 = 15245382926592
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.
689 : 1, 13, 53, 689
488 : 1, 2, 4, 8, 61, 122, 244, 488
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
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 689,488,336,918,147, is 1.
Now, the common factors can be found like this.
689:13x 53
488:2x 2x 2x 61
336:2x 2x 2x 2x 3x 7
918:2x 3x 3x 3x 17
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 2x 2x 2x 3x 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 15245382926592/(1x1008)
LCM = 15245382926592/1008
LCM = 15124387824
Thus, we can understand that the LCM of 689,488,336,918,147 is 15124387824.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 689, 488, 336, 918, 147?
Answer: LCM of 689, 488, 336, 918, 147 is 15124387824.
2. How to calculate the LCM of 689, 488, 336, 918, 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 689, 488, 336, 918, 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}.