Find the LCM of 933, 113, 397, 630, 228 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 933, 113, 397, 630, 228. So, keep reading to learn more.
Given numbers are 933,113,397,630,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 933,113,397,630,228 is 334005397740.
Find LCM of 933,113,397,630,228 with Prime Factorization
2 | 933, 113, 397, 630, 228 |
3 | 933, 113, 397, 315, 114 |
311, 113, 397, 105, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 311 x 113 x 397 x 105 x 38 = 334005397740
Therefore, the lowest common multiple of 933,113,397,630,228 is 334005397740.
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.
933 x 113 x 397 x 630 x 228 = 6012097159320
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.
933 : 1, 3, 311, 933
113 : 1, 113
397 : 1, 397
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,113,397,630,228, is 1.
Now, the common factors can be found like this.
933:3x 311
113:113
397:397
630:2x 3x 3x 5x 7
228:2x 2x 3x 19
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 3 = 18
Therefore, the value for common factors is 18.
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 = 6012097159320/(1x18)
LCM = 6012097159320/18
LCM = 334005397740
Thus, we can understand that the LCM of 933,113,397,630,228 is 334005397740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 933, 113, 397, 630, 228?
Answer: LCM of 933, 113, 397, 630, 228 is 334005397740.
2. How to calculate the LCM of 933, 113, 397, 630, 228?
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 933, 113, 397, 630, 228.
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}.