LCM of 491, 301, 473, 689, 533
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 301, 473, 689, 533 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, 301, 473, 689, 533. So, keep reading to learn more.
Given numbers are 491,301,473,689,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,301,473,689,533 is 45924427549.
Find LCM of 491,301,473,689,533 with Prime Factorization
| 13 | 491, 301, 473, 689, 533 |
| 43 | 491, 301, 473, 53, 41 |
| 491, 7, 11, 53, 41 |
Multiply the prime numbers at the bottom and the left side.
13 x 43 x 491 x 7 x 11 x 53 x 41 = 45924427549
Therefore, the lowest common multiple of 491,301,473,689,533 is 45924427549.
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 301 x 473 x 689 x 533 = 25671754999891
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
301 : 1, 7, 43, 301
473 : 1, 11, 43, 473
689 : 1, 13, 53, 689
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,301,473,689,533, is 1.
Now, the common factors can be found like this.
491:491
301:7x 43
473:11x 43
689:13x 53
533:13x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 43 = 559
Therefore, the value for common factors is 559.
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 = 25671754999891/(1x559)
LCM = 25671754999891/559
LCM = 45924427549
Thus, we can understand that the LCM of 491,301,473,689,533 is 45924427549.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 491, 301, 473, 689, 533
1. What is the LCM of 491, 301, 473, 689, 533?
Answer: LCM of 491, 301, 473, 689, 533 is 45924427549.
2. How to calculate the LCM of 491, 301, 473, 689, 533?
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, 301, 473, 689, 533.
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}.