Find the LCM of 995, 130, 894, 771, 451 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, 130, 894, 771, 451. So, keep reading to learn more.
Given numbers are 995,130,894,771,451
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,130,894,771,451 is 1340335798230.
Find LCM of 995,130,894,771,451 with Prime Factorization
2 | 995, 130, 894, 771, 451 |
3 | 995, 65, 447, 771, 451 |
5 | 995, 65, 149, 257, 451 |
199, 13, 149, 257, 451 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 199 x 13 x 149 x 257 x 451 = 1340335798230
Therefore, the lowest common multiple of 995,130,894,771,451 is 1340335798230.
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 130 x 894 x 771 x 451 = 40210073946900
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
130 : 1, 2, 5, 10, 13, 26, 65, 130
894 : 1, 2, 3, 6, 149, 298, 447, 894
771 : 1, 3, 257, 771
451 : 1, 11, 41, 451
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,130,894,771,451, is 1.
Now, the common factors can be found like this.
995:5x 199
130:2x 5x 13
894:2x 3x 149
771:3x 257
451:11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 40210073946900/(1x30)
LCM = 40210073946900/30
LCM = 1340335798230
Thus, we can understand that the LCM of 995,130,894,771,451 is 1340335798230.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 995, 130, 894, 771, 451?
Answer: LCM of 995, 130, 894, 771, 451 is 1340335798230.
2. How to calculate the LCM of 995, 130, 894, 771, 451?
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, 130, 894, 771, 451.
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}.