Find the LCM of 995, 132, 513, 133, 378 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, 132, 513, 133, 378. So, keep reading to learn more.
Given numbers are 995,132,513,133,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,132,513,133,378 is 157213980.
Find LCM of 995,132,513,133,378 with Prime Factorization
2 | 995, 132, 513, 133, 378 |
3 | 995, 66, 513, 133, 189 |
3 | 995, 22, 171, 133, 63 |
3 | 995, 22, 57, 133, 21 |
7 | 995, 22, 19, 133, 7 |
19 | 995, 22, 19, 19, 1 |
995, 22, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 19 x 995 x 22 x 1 x 1 x 1 = 157213980
Therefore, the lowest common multiple of 995,132,513,133,378 is 157213980.
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 132 x 513 x 133 x 378 = 3387332413080
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
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
513 : 1, 3, 9, 19, 27, 57, 171, 513
133 : 1, 7, 19, 133
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,132,513,133,378, is 1.
Now, the common factors can be found like this.
995:5x 199
132:2x 2x 3x 11
513:3x 3x 3x 19
133:7x 19
378:2x 3x 3x 3x 7
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 3x 3x 3x 7x 19 = 21546
Therefore, the value for common factors is 21546.
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 = 3387332413080/(1x21546)
LCM = 3387332413080/21546
LCM = 157213980
Thus, we can understand that the LCM of 995,132,513,133,378 is 157213980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 995, 132, 513, 133, 378?
Answer: LCM of 995, 132, 513, 133, 378 is 157213980.
2. How to calculate the LCM of 995, 132, 513, 133, 378?
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, 132, 513, 133, 378.
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}.