LCM of 479, 578, 765, 723, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 479, 578, 765, 723, 442 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 479, 578, 765, 723, 442. So, keep reading to learn more.
Given numbers are 479,578,765,723,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,578,765,723,442 is 39033389070.
Find LCM of 479,578,765,723,442 with Prime Factorization
| 2 | 479, 578, 765, 723, 442 |
| 3 | 479, 289, 765, 723, 221 |
| 17 | 479, 289, 255, 241, 221 |
| 479, 17, 15, 241, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 479 x 17 x 15 x 241 x 13 = 39033389070
Therefore, the lowest common multiple of 479,578,765,723,442 is 39033389070.
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.
479 x 578 x 765 x 723 x 442 = 67683896647380
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.
479 : 1, 479
578 : 1, 2, 17, 34, 289, 578
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
723 : 1, 3, 241, 723
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,578,765,723,442, is 1.
Now, the common factors can be found like this.
479:479
578:2x 17x 17
765:3x 3x 5x 17
723:3x 241
442:2x 13x 17
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 17x 17 = 1734
Therefore, the value for common factors is 1734.
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 = 67683896647380/(1x1734)
LCM = 67683896647380/1734
LCM = 39033389070
Thus, we can understand that the LCM of 479,578,765,723,442 is 39033389070.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 479, 578, 765, 723, 442
1. What is the LCM of 479, 578, 765, 723, 442?
Answer: LCM of 479, 578, 765, 723, 442 is 39033389070.
2. How to calculate the LCM of 479, 578, 765, 723, 442?
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 479, 578, 765, 723, 442.
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}.