LCM of 740, 591, 901, 663, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 740, 591, 901, 663, 221 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 740, 591, 901, 663, 221. So, keep reading to learn more.
Given numbers are 740,591,901,663,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 740,591,901,663,221 is 5122563420.
Find LCM of 740,591,901,663,221 with Prime Factorization
| 3 | 740, 591, 901, 663, 221 |
| 13 | 740, 197, 901, 221, 221 |
| 17 | 740, 197, 901, 17, 17 |
| 740, 197, 53, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 17 x 740 x 197 x 53 x 1 x 1 = 5122563420
Therefore, the lowest common multiple of 740,591,901,663,221 is 5122563420.
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.
740 x 591 x 901 x 663 x 221 = 57736412306820
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.
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
591 : 1, 3, 197, 591
901 : 1, 17, 53, 901
663 : 1, 3, 13, 17, 39, 51, 221, 663
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,591,901,663,221, is 1.
Now, the common factors can be found like this.
740:2x 2x 5x 37
591:3x 197
901:17x 53
663:3x 13x 17
221:13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 17x 17 = 11271
Therefore, the value for common factors is 11271.
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 = 57736412306820/(1x11271)
LCM = 57736412306820/11271
LCM = 5122563420
Thus, we can understand that the LCM of 740,591,901,663,221 is 5122563420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 740, 591, 901, 663, 221
1. What is the LCM of 740, 591, 901, 663, 221?
Answer: LCM of 740, 591, 901, 663, 221 is 5122563420.
2. How to calculate the LCM of 740, 591, 901, 663, 221?
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 740, 591, 901, 663, 221.
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}.