LCM of 619, 442, 105, 270, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 619, 442, 105, 270, 742 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 619, 442, 105, 270, 742. So, keep reading to learn more.
Given numbers are 619,442,105,270,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 619,442,105,270,742 is 13703155830.
Find LCM of 619,442,105,270,742 with Prime Factorization
| 2 | 619, 442, 105, 270, 742 |
| 3 | 619, 221, 105, 135, 371 |
| 5 | 619, 221, 35, 45, 371 |
| 7 | 619, 221, 7, 9, 371 |
| 619, 221, 1, 9, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 619 x 221 x 1 x 9 x 53 = 13703155830
Therefore, the lowest common multiple of 619,442,105,270,742 is 13703155830.
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.
619 x 442 x 105 x 270 x 742 = 5755325448600
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.
619 : 1, 619
442 : 1, 2, 13, 17, 26, 34, 221, 442
105 : 1, 3, 5, 7, 15, 21, 35, 105
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 619,442,105,270,742, is 1.
Now, the common factors can be found like this.
619:619
442:2x 13x 17
105:3x 5x 7
270:2x 3x 3x 3x 5
742:2x 7x 53
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 5x 7 = 420
Therefore, the value for common factors is 420.
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 = 5755325448600/(1x420)
LCM = 5755325448600/420
LCM = 13703155830
Thus, we can understand that the LCM of 619,442,105,270,742 is 13703155830.
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FAQs on LCM of 619, 442, 105, 270, 742
1. What is the LCM of 619, 442, 105, 270, 742?
Answer: LCM of 619, 442, 105, 270, 742 is 13703155830.
2. How to calculate the LCM of 619, 442, 105, 270, 742?
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 619, 442, 105, 270, 742.
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}.