LCM of 645, 580, 290, 407, 890
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 645, 580, 290, 407, 890 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 645, 580, 290, 407, 890. So, keep reading to learn more.
Given numbers are 645,580,290,407,890
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 645,580,290,407,890 is 2710204860.
Find LCM of 645,580,290,407,890 with Prime Factorization
| 2 | 645, 580, 290, 407, 890 |
| 5 | 645, 290, 145, 407, 445 |
| 29 | 129, 58, 29, 407, 89 |
| 129, 2, 1, 407, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 29 x 129 x 2 x 1 x 407 x 89 = 2710204860
Therefore, the lowest common multiple of 645,580,290,407,890 is 2710204860.
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.
645 x 580 x 290 x 407 x 890 = 39297970470000
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.
645 : 1, 3, 5, 15, 43, 129, 215, 645
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
290 : 1, 2, 5, 10, 29, 58, 145, 290
407 : 1, 11, 37, 407
890 : 1, 2, 5, 10, 89, 178, 445, 890
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,580,290,407,890, is 1.
Now, the common factors can be found like this.
645:3x 5x 43
580:2x 2x 5x 29
290:2x 5x 29
407:11x 37
890:2x 5x 89
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 5x 5x 5x 29 = 14500
Therefore, the value for common factors is 14500.
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 = 39297970470000/(1x14500)
LCM = 39297970470000/14500
LCM = 2710204860
Thus, we can understand that the LCM of 645,580,290,407,890 is 2710204860.
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FAQs on LCM of 645, 580, 290, 407, 890
1. What is the LCM of 645, 580, 290, 407, 890?
Answer: LCM of 645, 580, 290, 407, 890 is 2710204860.
2. How to calculate the LCM of 645, 580, 290, 407, 890?
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 645, 580, 290, 407, 890.
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}.