Find the LCM of 563, 230, 756, 316, 971 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 563, 230, 756, 316, 971. So, keep reading to learn more.
Given numbers are 563,230,756,316,971
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,230,756,316,971 is 3754692298980.
Find LCM of 563,230,756,316,971 with Prime Factorization
2 | 563, 230, 756, 316, 971 |
2 | 563, 115, 378, 158, 971 |
563, 115, 189, 79, 971 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 563 x 115 x 189 x 79 x 971 = 3754692298980
Therefore, the lowest common multiple of 563,230,756,316,971 is 3754692298980.
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.
563 x 230 x 756 x 316 x 971 = 30037538391840
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.
563 : 1, 563
230 : 1, 2, 5, 10, 23, 46, 115, 230
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
316 : 1, 2, 4, 79, 158, 316
971 : 1, 971
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,230,756,316,971, is 1.
Now, the common factors can be found like this.
563:563
230:2x 5x 23
756:2x 2x 3x 3x 3x 7
316:2x 2x 79
971:971
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2 = 8
Therefore, the value for common factors is 8.
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 = 30037538391840/(1x8)
LCM = 30037538391840/8
LCM = 3754692298980
Thus, we can understand that the LCM of 563,230,756,316,971 is 3754692298980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 563, 230, 756, 316, 971?
Answer: LCM of 563, 230, 756, 316, 971 is 3754692298980.
2. How to calculate the LCM of 563, 230, 756, 316, 971?
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 563, 230, 756, 316, 971.
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}.