LCM of 630, 221, 715, 423
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 630, 221, 715, 423 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 630, 221, 715, 423. So, keep reading to learn more.
Given numbers are 630,221,715,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,221,715,423 is 71981910.
Find LCM of 630,221,715,423 with Prime Factorization
| 3 | 630, 221, 715, 423 |
| 3 | 210, 221, 715, 141 |
| 5 | 70, 221, 715, 47 |
| 13 | 14, 221, 143, 47 |
| 14, 17, 11, 47 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 13 x 14 x 17 x 11 x 47 = 71981910
Therefore, the lowest common multiple of 630,221,715,423 is 71981910.
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.
630 x 221 x 715 x 423 = 42109417350
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.
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
221 : 1, 13, 17, 221
715 : 1, 5, 11, 13, 55, 65, 143, 715
423 : 1, 3, 9, 47, 141, 423
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,221,715,423, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
221:13x 17
715:5x 11x 13
423:3x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 13 = 585
Therefore, the value for common factors is 585.
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 = 42109417350/(1x585)
LCM = 42109417350/585
LCM = 71981910
Thus, we can understand that the LCM of 630,221,715,423 is 71981910.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 630, 221, 715, 423
1. What is the LCM of 630, 221, 715, 423?
Answer: LCM of 630, 221, 715, 423 is 71981910.
2. How to calculate the LCM of 630, 221, 715, 423?
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 630, 221, 715, 423.
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}.