Find the LCM of 679, 755, 552, 374, 160 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, 755, 552, 374, 160. So, keep reading to learn more.
Given numbers are 679,755,552,374,160
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 679,755,552,374,160 is 211669069920.
Find LCM of 679,755,552,374,160 with Prime Factorization
2 | 679, 755, 552, 374, 160 |
2 | 679, 755, 276, 187, 80 |
2 | 679, 755, 138, 187, 40 |
5 | 679, 755, 69, 187, 20 |
679, 151, 69, 187, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 679 x 151 x 69 x 187 x 4 = 211669069920
Therefore, the lowest common multiple of 679,755,552,374,160 is 211669069920.
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 755 x 552 x 374 x 160 = 16933525593600
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
755 : 1, 5, 151, 755
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
374 : 1, 2, 11, 17, 22, 34, 187, 374
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,755,552,374,160, is 1.
Now, the common factors can be found like this.
679:7x 97
755:5x 151
552:2x 2x 2x 3x 23
374:2x 11x 17
160:2x 2x 2x 2x 2x 5
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 5 = 80
Therefore, the value for common factors is 80.
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 = 16933525593600/(1x80)
LCM = 16933525593600/80
LCM = 211669069920
Thus, we can understand that the LCM of 679,755,552,374,160 is 211669069920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 679, 755, 552, 374, 160?
Answer: LCM of 679, 755, 552, 374, 160 is 211669069920.
2. How to calculate the LCM of 679, 755, 552, 374, 160?
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, 755, 552, 374, 160.
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}.