Find the LCM of 679, 374, 528, 784, 656 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 679, 374, 528, 784, 656. So, keep reading to learn more.
Given numbers are 679,374,528,784,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 679,374,528,784,656 is 1749180048.
Find LCM of 679,374,528,784,656 with Prime Factorization
2 | 679, 374, 528, 784, 656 |
2 | 679, 187, 264, 392, 328 |
2 | 679, 187, 132, 196, 164 |
2 | 679, 187, 66, 98, 82 |
7 | 679, 187, 33, 49, 41 |
11 | 97, 187, 33, 7, 41 |
97, 17, 3, 7, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 11 x 97 x 17 x 3 x 7 x 41 = 1749180048
Therefore, the lowest common multiple of 679,374,528,784,656 is 1749180048.
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.
679 x 374 x 528 x 784 x 656 = 68959674212352
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.
679 : 1, 7, 97, 679
374 : 1, 2, 11, 17, 22, 34, 187, 374
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,374,528,784,656, is 1.
Now, the common factors can be found like this.
679:7x 97
374:2x 11x 17
528:2x 2x 2x 2x 3x 11
784:2x 2x 2x 2x 7x 7
656:2x 2x 2x 2x 41
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 2x 7x 11 = 39424
Therefore, the value for common factors is 39424.
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 = 68959674212352/(1x39424)
LCM = 68959674212352/39424
LCM = 1749180048
Thus, we can understand that the LCM of 679,374,528,784,656 is 1749180048.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 679, 374, 528, 784, 656?
Answer: LCM of 679, 374, 528, 784, 656 is 1749180048.
2. How to calculate the LCM of 679, 374, 528, 784, 656?
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 679, 374, 528, 784, 656.
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}.