Find the LCM of 491, 759, 633, 594, 354 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 491, 759, 633, 594, 354. So, keep reading to learn more.
Given numbers are 491,759,633,594,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,759,633,594,354 is 83508414858.
Find LCM of 491,759,633,594,354 with Prime Factorization
2 | 491, 759, 633, 594, 354 |
3 | 491, 759, 633, 297, 177 |
11 | 491, 253, 211, 99, 59 |
491, 23, 211, 9, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 491 x 23 x 211 x 9 x 59 = 83508414858
Therefore, the lowest common multiple of 491,759,633,594,354 is 83508414858.
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.
491 x 759 x 633 x 594 x 354 = 49603998425652
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.
491 : 1, 491
759 : 1, 3, 11, 23, 33, 69, 253, 759
633 : 1, 3, 211, 633
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
354 : 1, 2, 3, 6, 59, 118, 177, 354
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,759,633,594,354, is 1.
Now, the common factors can be found like this.
491:491
759:3x 11x 23
633:3x 211
594:2x 3x 3x 3x 11
354:2x 3x 59
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 3x 3x 11 = 594
Therefore, the value for common factors is 594.
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 = 49603998425652/(1x594)
LCM = 49603998425652/594
LCM = 83508414858
Thus, we can understand that the LCM of 491,759,633,594,354 is 83508414858.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 491, 759, 633, 594, 354?
Answer: LCM of 491, 759, 633, 594, 354 is 83508414858.
2. How to calculate the LCM of 491, 759, 633, 594, 354?
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 491, 759, 633, 594, 354.
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}.