LCM of 573, 974, 196, 546, 926
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 573, 974, 196, 546, 926 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 573, 974, 196, 546, 926. So, keep reading to learn more.
Given numbers are 573,974,196,546,926
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,974,196,546,926 is 329203161924.
Find LCM of 573,974,196,546,926 with Prime Factorization
| 2 | 573, 974, 196, 546, 926 |
| 3 | 573, 487, 98, 273, 463 |
| 7 | 191, 487, 98, 91, 463 |
| 191, 487, 14, 13, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 191 x 487 x 14 x 13 x 463 = 329203161924
Therefore, the lowest common multiple of 573,974,196,546,926 is 329203161924.
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.
573 x 974 x 196 x 546 x 926 = 55306131203232
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.
573 : 1, 3, 191, 573
974 : 1, 2, 487, 974
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
926 : 1, 2, 463, 926
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,974,196,546,926, is 1.
Now, the common factors can be found like this.
573:3x 191
974:2x 487
196:2x 2x 7x 7
546:2x 3x 7x 13
926:2x 463
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 7 = 168
Therefore, the value for common factors is 168.
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 = 55306131203232/(1x168)
LCM = 55306131203232/168
LCM = 329203161924
Thus, we can understand that the LCM of 573,974,196,546,926 is 329203161924.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 573, 974, 196, 546, 926
1. What is the LCM of 573, 974, 196, 546, 926?
Answer: LCM of 573, 974, 196, 546, 926 is 329203161924.
2. How to calculate the LCM of 573, 974, 196, 546, 926?
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 573, 974, 196, 546, 926.
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}.