Find the LCM of 967, 290, 299, 506, 506 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 967, 290, 299, 506, 506. So, keep reading to learn more.
Given numbers are 967,290,299,506,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,290,299,506,506 is 922334270.
Find LCM of 967,290,299,506,506 with Prime Factorization
2 | 967, 290, 299, 506, 506 |
11 | 967, 145, 299, 253, 253 |
23 | 967, 145, 299, 23, 23 |
967, 145, 13, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 967 x 145 x 13 x 1 x 1 = 922334270
Therefore, the lowest common multiple of 967,290,299,506,506 is 922334270.
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.
967 x 290 x 299 x 506 x 506 = 21468252468520
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.
967 : 1, 967
290 : 1, 2, 5, 10, 29, 58, 145, 290
299 : 1, 13, 23, 299
506 : 1, 2, 11, 22, 23, 46, 253, 506
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,290,299,506,506, is 1.
Now, the common factors can be found like this.
967:967
290:2x 5x 29
299:13x 23
506:2x 11x 23
506:2x 11x 23
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 11x 23x 23 = 23276
Therefore, the value for common factors is 23276.
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 = 21468252468520/(1x23276)
LCM = 21468252468520/23276
LCM = 922334270
Thus, we can understand that the LCM of 967,290,299,506,506 is 922334270.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 967, 290, 299, 506, 506?
Answer: LCM of 967, 290, 299, 506, 506 is 922334270.
2. How to calculate the LCM of 967, 290, 299, 506, 506?
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 967, 290, 299, 506, 506.
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}.