LCM of 995, 749, 154, 963, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 995, 749, 154, 963, 442 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, 749, 154, 963, 442. So, keep reading to learn more.
Given numbers are 995,749,154,963,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,749,154,963,442 is 32610868290.
Find LCM of 995,749,154,963,442 with Prime Factorization
| 2 | 995, 749, 154, 963, 442 |
| 7 | 995, 749, 77, 963, 221 |
| 107 | 995, 107, 11, 963, 221 |
| 995, 1, 11, 9, 221 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 107 x 995 x 1 x 11 x 9 x 221 = 32610868290
Therefore, the lowest common multiple of 995,749,154,963,442 is 32610868290.
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 749 x 154 x 963 x 442 = 48851080698420
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
749 : 1, 7, 107, 749
154 : 1, 2, 7, 11, 14, 22, 77, 154
963 : 1, 3, 9, 107, 321, 963
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,749,154,963,442, is 1.
Now, the common factors can be found like this.
995:5x 199
749:7x 107
154:2x 7x 11
963:3x 3x 107
442:2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 107 = 1498
Therefore, the value for common factors is 1498.
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 = 48851080698420/(1x1498)
LCM = 48851080698420/1498
LCM = 32610868290
Thus, we can understand that the LCM of 995,749,154,963,442 is 32610868290.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 995, 749, 154, 963, 442
1. What is the LCM of 995, 749, 154, 963, 442?
Answer: LCM of 995, 749, 154, 963, 442 is 32610868290.
2. How to calculate the LCM of 995, 749, 154, 963, 442?
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, 749, 154, 963, 442.
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}.