LCM of 442, 592, 962, 479
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 592, 962, 479 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, 592, 962, 479. So, keep reading to learn more.
Given numbers are 442,592,962,479
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,592,962,479 is 62668528.
Find LCM of 442,592,962,479 with Prime Factorization
| 2 | 442, 592, 962, 479 |
| 13 | 221, 296, 481, 479 |
| 37 | 17, 296, 37, 479 |
| 17, 8, 1, 479 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 37 x 17 x 8 x 1 x 479 = 62668528
Therefore, the lowest common multiple of 442,592,962,479 is 62668528.
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 592 x 962 x 479 = 120574247872
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
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
962 : 1, 2, 13, 26, 37, 74, 481, 962
479 : 1, 479
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,592,962,479, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
592:2x 2x 2x 2x 37
962:2x 13x 37
479:479
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 13x 37 = 1924
Therefore, the value for common factors is 1924.
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 = 120574247872/(1x1924)
LCM = 120574247872/1924
LCM = 62668528
Thus, we can understand that the LCM of 442,592,962,479 is 62668528.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 442, 592, 962, 479
1. What is the LCM of 442, 592, 962, 479?
Answer: LCM of 442, 592, 962, 479 is 62668528.
2. How to calculate the LCM of 442, 592, 962, 479?
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, 592, 962, 479.
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}.