Find the LCM of 649, 418, 969, 587 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 649, 418, 969, 587. So, keep reading to learn more.
Given numbers are 649,418,969,587
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,418,969,587 is 738306294.
Find LCM of 649,418,969,587 with Prime Factorization
11 | 649, 418, 969, 587 |
19 | 59, 38, 969, 587 |
59, 2, 51, 587 |
Multiply the prime numbers at the bottom and the left side.
11 x 19 x 59 x 2 x 51 x 587 = 738306294
Therefore, the lowest common multiple of 649,418,969,587 is 738306294.
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.
649 x 418 x 969 x 587 = 154306015446
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.
649 : 1, 11, 59, 649
418 : 1, 2, 11, 19, 22, 38, 209, 418
969 : 1, 3, 17, 19, 51, 57, 323, 969
587 : 1, 587
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,418,969,587, is 1.
Now, the common factors can be found like this.
649:11x 59
418:2x 11x 19
969:3x 17x 19
587:587
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 19 = 209
Therefore, the value for common factors is 209.
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 = 154306015446/(1x209)
LCM = 154306015446/209
LCM = 738306294
Thus, we can understand that the LCM of 649,418,969,587 is 738306294.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 649, 418, 969, 587?
Answer: LCM of 649, 418, 969, 587 is 738306294.
2. How to calculate the LCM of 649, 418, 969, 587?
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 649, 418, 969, 587.
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}.