LCM of 573, 780, 745, 663, 591
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 573, 780, 745, 663, 591 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, 780, 745, 663, 591. So, keep reading to learn more.
Given numbers are 573,780,745,663,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,780,745,663,591 is 74341168980.
Find LCM of 573,780,745,663,591 with Prime Factorization
| 3 | 573, 780, 745, 663, 591 |
| 5 | 191, 260, 745, 221, 197 |
| 13 | 191, 52, 149, 221, 197 |
| 191, 4, 149, 17, 197 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 191 x 4 x 149 x 17 x 197 = 74341168980
Therefore, the lowest common multiple of 573,780,745,663,591 is 74341168980.
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 780 x 745 x 663 x 591 = 130468751559900
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
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
745 : 1, 5, 149, 745
663 : 1, 3, 13, 17, 39, 51, 221, 663
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,780,745,663,591, is 1.
Now, the common factors can be found like this.
573:3x 191
780:2x 2x 3x 5x 13
745:5x 149
663:3x 13x 17
591:3x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 13 = 1755
Therefore, the value for common factors is 1755.
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 = 130468751559900/(1x1755)
LCM = 130468751559900/1755
LCM = 74341168980
Thus, we can understand that the LCM of 573,780,745,663,591 is 74341168980.
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FAQs on LCM of 573, 780, 745, 663, 591
1. What is the LCM of 573, 780, 745, 663, 591?
Answer: LCM of 573, 780, 745, 663, 591 is 74341168980.
2. How to calculate the LCM of 573, 780, 745, 663, 591?
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, 780, 745, 663, 591.
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}.