Find the LCM of 492, 744, 929, 732, 469 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 492, 744, 929, 732, 469. So, keep reading to learn more.
Given numbers are 492,744,929,732,469
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,744,929,732,469 is 810728021544.
Find LCM of 492,744,929,732,469 with Prime Factorization
2 | 492, 744, 929, 732, 469 |
2 | 246, 372, 929, 366, 469 |
3 | 123, 186, 929, 183, 469 |
41, 62, 929, 61, 469 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 62 x 929 x 61 x 469 = 810728021544
Therefore, the lowest common multiple of 492,744,929,732,469 is 810728021544.
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.
492 x 744 x 929 x 732 x 469 = 116744835102336
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
929 : 1, 929
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
469 : 1, 7, 67, 469
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,744,929,732,469, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
744:2x 2x 2x 3x 31
929:929
732:2x 2x 3x 61
469:7x 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 2x 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 116744835102336/(1x144)
LCM = 116744835102336/144
LCM = 810728021544
Thus, we can understand that the LCM of 492,744,929,732,469 is 810728021544.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 492, 744, 929, 732, 469?
Answer: LCM of 492, 744, 929, 732, 469 is 810728021544.
2. How to calculate the LCM of 492, 744, 929, 732, 469?
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 492, 744, 929, 732, 469.
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}.