Find the LCM of 679, 995, 532, 426, 568 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, 995, 532, 426, 568. So, keep reading to learn more.
Given numbers are 679,995,532,426,568
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 679,995,532,426,568 is 21873387480.
Find LCM of 679,995,532,426,568 with Prime Factorization
2 | 679, 995, 532, 426, 568 |
2 | 679, 995, 266, 213, 284 |
7 | 679, 995, 133, 213, 142 |
71 | 97, 995, 19, 213, 142 |
97, 995, 19, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 71 x 97 x 995 x 19 x 3 x 2 = 21873387480
Therefore, the lowest common multiple of 679,995,532,426,568 is 21873387480.
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 995 x 532 x 426 x 568 = 86968588620480
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
995 : 1, 5, 199, 995
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
426 : 1, 2, 3, 6, 71, 142, 213, 426
568 : 1, 2, 4, 8, 71, 142, 284, 568
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,995,532,426,568, is 1.
Now, the common factors can be found like this.
679:7x 97
995:5x 199
532:2x 2x 7x 19
426:2x 3x 71
568:2x 2x 2x 71
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 7x 71 = 3976
Therefore, the value for common factors is 3976.
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 = 86968588620480/(1x3976)
LCM = 86968588620480/3976
LCM = 21873387480
Thus, we can understand that the LCM of 679,995,532,426,568 is 21873387480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 679, 995, 532, 426, 568?
Answer: LCM of 679, 995, 532, 426, 568 is 21873387480.
2. How to calculate the LCM of 679, 995, 532, 426, 568?
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, 995, 532, 426, 568.
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}.