LCM of 573, 828, 169, 724, 558
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 573, 828, 169, 724, 558 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, 828, 169, 724, 558. So, keep reading to learn more.
Given numbers are 573,828,169,724,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,828,169,724,558 is 149965264332.
Find LCM of 573,828,169,724,558 with Prime Factorization
| 2 | 573, 828, 169, 724, 558 |
| 2 | 573, 414, 169, 362, 279 |
| 3 | 573, 207, 169, 181, 279 |
| 3 | 191, 69, 169, 181, 93 |
| 191, 23, 169, 181, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 191 x 23 x 169 x 181 x 31 = 149965264332
Therefore, the lowest common multiple of 573,828,169,724,558 is 149965264332.
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 828 x 169 x 724 x 558 = 32392497095712
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
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
169 : 1, 13, 169
724 : 1, 2, 4, 181, 362, 724
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,828,169,724,558, is 1.
Now, the common factors can be found like this.
573:3x 191
828:2x 2x 3x 3x 23
169:13x 13
724:2x 2x 181
558:2x 3x 3x 31
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 3 = 216
Therefore, the value for common factors is 216.
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 = 32392497095712/(1x216)
LCM = 32392497095712/216
LCM = 149965264332
Thus, we can understand that the LCM of 573,828,169,724,558 is 149965264332.
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FAQs on LCM of 573, 828, 169, 724, 558
1. What is the LCM of 573, 828, 169, 724, 558?
Answer: LCM of 573, 828, 169, 724, 558 is 149965264332.
2. How to calculate the LCM of 573, 828, 169, 724, 558?
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, 828, 169, 724, 558.
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}.