Find the LCM of 642, 598, 522, 552, 182 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 642, 598, 522, 552, 182. So, keep reading to learn more.
Given numbers are 642,598,522,552,182
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,598,522,552,182 is 467609688.
Find LCM of 642,598,522,552,182 with Prime Factorization
2 | 642, 598, 522, 552, 182 |
3 | 321, 299, 261, 276, 91 |
13 | 107, 299, 87, 92, 91 |
23 | 107, 23, 87, 92, 7 |
107, 1, 87, 4, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 107 x 1 x 87 x 4 x 7 = 467609688
Therefore, the lowest common multiple of 642,598,522,552,182 is 467609688.
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.
642 x 598 x 522 x 552 x 182 = 20133402726528
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
598 : 1, 2, 13, 23, 26, 46, 299, 598
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
182 : 1, 2, 7, 13, 14, 26, 91, 182
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,598,522,552,182, is 2.
Now, the common factors can be found like this.
642:2x 3x 107
598:2x 13x 23
522:2x 3x 3x 29
552:2x 2x 2x 3x 23
182:2x 7x 13
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 2x 3x 3x 13x 23 = 21528
Therefore, the value for common factors is 21528.
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 = 20133402726528/(2x21528)
LCM = 20133402726528/43056
LCM = 467609688
Thus, we can understand that the LCM of 642,598,522,552,182 is 467609688.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 642, 598, 522, 552, 182?
Answer: LCM of 642, 598, 522, 552, 182 is 467609688.
2. How to calculate the LCM of 642, 598, 522, 552, 182?
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 642, 598, 522, 552, 182.
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}.