Find the LCM of 704, 688, 492, 902, 259 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, 688, 492, 902, 259. So, keep reading to learn more.
Given numbers are 704,688,492,902,259
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,688,492,902,259 is 964375104.
Find LCM of 704,688,492,902,259 with Prime Factorization
2 | 704, 688, 492, 902, 259 |
2 | 352, 344, 246, 451, 259 |
2 | 176, 172, 123, 451, 259 |
2 | 88, 86, 123, 451, 259 |
11 | 44, 43, 123, 451, 259 |
41 | 4, 43, 123, 41, 259 |
4, 43, 3, 1, 259 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 41 x 4 x 43 x 3 x 1 x 259 = 964375104
Therefore, the lowest common multiple of 704,688,492,902,259 is 964375104.
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 688 x 492 x 902 x 259 = 55671446003712
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
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
902 : 1, 2, 11, 22, 41, 82, 451, 902
259 : 1, 7, 37, 259
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,688,492,902,259, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
688:2x 2x 2x 2x 43
492:2x 2x 3x 41
902:2x 11x 41
259:7x 37
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 11x 41 = 57728
Therefore, the value for common factors is 57728.
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 = 55671446003712/(1x57728)
LCM = 55671446003712/57728
LCM = 964375104
Thus, we can understand that the LCM of 704,688,492,902,259 is 964375104.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 704, 688, 492, 902, 259?
Answer: LCM of 704, 688, 492, 902, 259 is 964375104.
2. How to calculate the LCM of 704, 688, 492, 902, 259?
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, 688, 492, 902, 259.
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}.