Find the LCM of 995, 288, 652, 639, 668 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 995, 288, 652, 639, 668. So, keep reading to learn more.
Given numbers are 995,288,652,639,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,288,652,639,668 is 553831932960.
Find LCM of 995,288,652,639,668 with Prime Factorization
2 | 995, 288, 652, 639, 668 |
2 | 995, 144, 326, 639, 334 |
3 | 995, 72, 163, 639, 167 |
3 | 995, 24, 163, 213, 167 |
995, 8, 163, 71, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 995 x 8 x 163 x 71 x 167 = 553831932960
Therefore, the lowest common multiple of 995,288,652,639,668 is 553831932960.
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.
995 x 288 x 652 x 639 x 668 = 79751798346240
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.
995 : 1, 5, 199, 995
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
652 : 1, 2, 4, 163, 326, 652
639 : 1, 3, 9, 71, 213, 639
668 : 1, 2, 4, 167, 334, 668
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,288,652,639,668, is 1.
Now, the common factors can be found like this.
995:5x 199
288:2x 2x 2x 2x 2x 3x 3
652:2x 2x 163
639:3x 3x 71
668:2x 2x 167
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 79751798346240/(1x144)
LCM = 79751798346240/144
LCM = 553831932960
Thus, we can understand that the LCM of 995,288,652,639,668 is 553831932960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 995, 288, 652, 639, 668?
Answer: LCM of 995, 288, 652, 639, 668 is 553831932960.
2. How to calculate the LCM of 995, 288, 652, 639, 668?
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 995, 288, 652, 639, 668.
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}.