Find the LCM of 995, 490, 916, 681, 681 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, 490, 916, 681, 681. So, keep reading to learn more.
Given numbers are 995,490,916,681,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,490,916,681,681 is 30413173980.
Find LCM of 995,490,916,681,681 with Prime Factorization
2 | 995, 490, 916, 681, 681 |
3 | 995, 245, 458, 681, 681 |
5 | 995, 245, 458, 227, 227 |
227 | 199, 49, 458, 227, 227 |
199, 49, 458, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 227 x 199 x 49 x 458 x 1 x 1 = 30413173980
Therefore, the lowest common multiple of 995,490,916,681,681 is 30413173980.
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 490 x 916 x 681 x 681 = 207113714803800
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
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
916 : 1, 2, 4, 229, 458, 916
681 : 1, 3, 227, 681
681 : 1, 3, 227, 681
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,490,916,681,681, is 1.
Now, the common factors can be found like this.
995:5x 199
490:2x 5x 7x 7
916:2x 2x 229
681:3x 227
681:3x 227
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 5x 227 = 6810
Therefore, the value for common factors is 6810.
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 = 207113714803800/(1x6810)
LCM = 207113714803800/6810
LCM = 30413173980
Thus, we can understand that the LCM of 995,490,916,681,681 is 30413173980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 995, 490, 916, 681, 681?
Answer: LCM of 995, 490, 916, 681, 681 is 30413173980.
2. How to calculate the LCM of 995, 490, 916, 681, 681?
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, 490, 916, 681, 681.
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}.