Find the LCM of 471, 297, 690, 945, 638 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 471, 297, 690, 945, 638. So, keep reading to learn more.
Given numbers are 471,297,690,945,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,297,690,945,638 is 2177108010.
Find LCM of 471,297,690,945,638 with Prime Factorization
2 | 471, 297, 690, 945, 638 |
3 | 471, 297, 345, 945, 319 |
3 | 157, 99, 115, 315, 319 |
3 | 157, 33, 115, 105, 319 |
5 | 157, 11, 115, 35, 319 |
11 | 157, 11, 23, 7, 319 |
157, 1, 23, 7, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 11 x 157 x 1 x 23 x 7 x 29 = 2177108010
Therefore, the lowest common multiple of 471,297,690,945,638 is 2177108010.
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.
471 x 297 x 690 x 945 x 638 = 58194097107300
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.
471 : 1, 3, 157, 471
297 : 1, 3, 9, 11, 27, 33, 99, 297
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,297,690,945,638, is 1.
Now, the common factors can be found like this.
471:3x 157
297:3x 3x 3x 11
690:2x 3x 5x 23
945:3x 3x 3x 5x 7
638:2x 11x 29
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 3x 5x 11 = 26730
Therefore, the value for common factors is 26730.
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 = 58194097107300/(1x26730)
LCM = 58194097107300/26730
LCM = 2177108010
Thus, we can understand that the LCM of 471,297,690,945,638 is 2177108010.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 471, 297, 690, 945, 638?
Answer: LCM of 471, 297, 690, 945, 638 is 2177108010.
2. How to calculate the LCM of 471, 297, 690, 945, 638?
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 471, 297, 690, 945, 638.
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}.