Find the LCM of 995, 398, 157, 381 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, 398, 157, 381. So, keep reading to learn more.
Given numbers are 995,398,157,381
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,398,157,381 is 119035830.
Find LCM of 995,398,157,381 with Prime Factorization
199 | 995, 398, 157, 381 |
5, 2, 157, 381 |
Multiply the prime numbers at the bottom and the left side.
199 x 5 x 2 x 157 x 381 = 119035830
Therefore, the lowest common multiple of 995,398,157,381 is 119035830.
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 398 x 157 x 381 = 23688130170
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
398 : 1, 2, 199, 398
157 : 1, 157
381 : 1, 3, 127, 381
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,398,157,381, is 1.
Now, the common factors can be found like this.
995:5x 199
398:2x 199
157:157
381:3x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
199 = 199
Therefore, the value for common factors is 199.
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 = 23688130170/(1x199)
LCM = 23688130170/199
LCM = 119035830
Thus, we can understand that the LCM of 995,398,157,381 is 119035830.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 995, 398, 157, 381?
Answer: LCM of 995, 398, 157, 381 is 119035830.
2. How to calculate the LCM of 995, 398, 157, 381?
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, 398, 157, 381.
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}.