Find the LCM of 655, 621, 396, 456, 995 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 655, 621, 396, 456, 995. So, keep reading to learn more.
Given numbers are 655,621,396,456,995
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,621,396,456,995 is 135338777640.
Find LCM of 655,621,396,456,995 with Prime Factorization
2 | 655, 621, 396, 456, 995 |
2 | 655, 621, 198, 228, 995 |
3 | 655, 621, 99, 114, 995 |
3 | 655, 207, 33, 38, 995 |
5 | 655, 69, 11, 38, 995 |
131, 69, 11, 38, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 131 x 69 x 11 x 38 x 199 = 135338777640
Therefore, the lowest common multiple of 655,621,396,456,995 is 135338777640.
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.
655 x 621 x 396 x 456 x 995 = 73082939925600
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.
655 : 1, 5, 131, 655
621 : 1, 3, 9, 23, 27, 69, 207, 621
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
995 : 1, 5, 199, 995
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,621,396,456,995, is 1.
Now, the common factors can be found like this.
655:5x 131
621:3x 3x 3x 23
396:2x 2x 3x 3x 11
456:2x 2x 2x 3x 19
995:5x 199
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 3x 3x 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 73082939925600/(1x540)
LCM = 73082939925600/540
LCM = 135338777640
Thus, we can understand that the LCM of 655,621,396,456,995 is 135338777640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 655, 621, 396, 456, 995?
Answer: LCM of 655, 621, 396, 456, 995 is 135338777640.
2. How to calculate the LCM of 655, 621, 396, 456, 995?
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 655, 621, 396, 456, 995.
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}.