LCM of 442, 219, 567, 306, 402
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 219, 567, 306, 402 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 442, 219, 567, 306, 402. So, keep reading to learn more.
Given numbers are 442,219,567,306,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,219,567,306,402 is 1225753074.
Find LCM of 442,219,567,306,402 with Prime Factorization
| 2 | 442, 219, 567, 306, 402 |
| 3 | 221, 219, 567, 153, 201 |
| 3 | 221, 73, 189, 51, 67 |
| 17 | 221, 73, 63, 17, 67 |
| 13, 73, 63, 1, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 13 x 73 x 63 x 1 x 67 = 1225753074
Therefore, the lowest common multiple of 442,219,567,306,402 is 1225753074.
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.
442 x 219 x 567 x 306 x 402 = 6751447931592
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
219 : 1, 3, 73, 219
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
402 : 1, 2, 3, 6, 67, 134, 201, 402
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,219,567,306,402, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
219:3x 73
567:3x 3x 3x 3x 7
306:2x 3x 3x 17
402:2x 3x 67
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 3x 3x 3x 3x 17 = 5508
Therefore, the value for common factors is 5508.
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 = 6751447931592/(1x5508)
LCM = 6751447931592/5508
LCM = 1225753074
Thus, we can understand that the LCM of 442,219,567,306,402 is 1225753074.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 442, 219, 567, 306, 402
1. What is the LCM of 442, 219, 567, 306, 402?
Answer: LCM of 442, 219, 567, 306, 402 is 1225753074.
2. How to calculate the LCM of 442, 219, 567, 306, 402?
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 442, 219, 567, 306, 402.
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}.