LCM of 655, 290, 545, 390, 169
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 655, 290, 545, 390, 169 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 655, 290, 545, 390, 169. So, keep reading to learn more.
Given numbers are 655,290,545,390,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,290,545,390,169 is 2099441370.
Find LCM of 655,290,545,390,169 with Prime Factorization
| 2 | 655, 290, 545, 390, 169 |
| 5 | 655, 145, 545, 195, 169 |
| 13 | 131, 29, 109, 39, 169 |
| 131, 29, 109, 3, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 131 x 29 x 109 x 3 x 13 = 2099441370
Therefore, the lowest common multiple of 655,290,545,390,169 is 2099441370.
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.
655 x 290 x 545 x 390 x 169 = 6823184452500
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.
655 : 1, 5, 131, 655
290 : 1, 2, 5, 10, 29, 58, 145, 290
545 : 1, 5, 109, 545
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,290,545,390,169, is 1.
Now, the common factors can be found like this.
655:5x 131
290:2x 5x 29
545:5x 109
390:2x 3x 5x 13
169:13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5x 13 = 3250
Therefore, the value for common factors is 3250.
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 = 6823184452500/(1x3250)
LCM = 6823184452500/3250
LCM = 2099441370
Thus, we can understand that the LCM of 655,290,545,390,169 is 2099441370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 655, 290, 545, 390, 169
1. What is the LCM of 655, 290, 545, 390, 169?
Answer: LCM of 655, 290, 545, 390, 169 is 2099441370.
2. How to calculate the LCM of 655, 290, 545, 390, 169?
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 655, 290, 545, 390, 169.
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}.