LCM of 290, 931, 219, 570, 803
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 290, 931, 219, 570, 803 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 290, 931, 219, 570, 803. So, keep reading to learn more.
Given numbers are 290,931,219,570,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 290,931,219,570,803 is 650405910.
Find LCM of 290,931,219,570,803 with Prime Factorization
| 2 | 290, 931, 219, 570, 803 |
| 3 | 145, 931, 219, 285, 803 |
| 5 | 145, 931, 73, 95, 803 |
| 19 | 29, 931, 73, 19, 803 |
| 73 | 29, 49, 73, 1, 803 |
| 29, 49, 1, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 73 x 29 x 49 x 1 x 1 x 11 = 650405910
Therefore, the lowest common multiple of 290,931,219,570,803 is 650405910.
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.
290 x 931 x 219 x 570 x 803 = 27063389915100
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.
290 : 1, 2, 5, 10, 29, 58, 145, 290
931 : 1, 7, 19, 49, 133, 931
219 : 1, 3, 73, 219
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,931,219,570,803, is 1.
Now, the common factors can be found like this.
290:2x 5x 29
931:7x 7x 19
219:3x 73
570:2x 3x 5x 19
803:11x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 19x 73 = 41610
Therefore, the value for common factors is 41610.
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 = 27063389915100/(1x41610)
LCM = 27063389915100/41610
LCM = 650405910
Thus, we can understand that the LCM of 290,931,219,570,803 is 650405910.
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FAQs on LCM of 290, 931, 219, 570, 803
1. What is the LCM of 290, 931, 219, 570, 803?
Answer: LCM of 290, 931, 219, 570, 803 is 650405910.
2. How to calculate the LCM of 290, 931, 219, 570, 803?
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 290, 931, 219, 570, 803.
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}.