LCM of 210, 490, 315, 257, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 210, 490, 315, 257, 917 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 210, 490, 315, 257, 917. So, keep reading to learn more.
Given numbers are 210,490,315,257,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,490,315,257,917 is 148471470.
Find LCM of 210,490,315,257,917 with Prime Factorization
| 2 | 210, 490, 315, 257, 917 |
| 3 | 105, 245, 315, 257, 917 |
| 5 | 35, 245, 105, 257, 917 |
| 7 | 7, 49, 21, 257, 917 |
| 1, 7, 3, 257, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 1 x 7 x 3 x 257 x 131 = 148471470
Therefore, the lowest common multiple of 210,490,315,257,917 is 148471470.
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.
210 x 490 x 315 x 257 x 917 = 7638857131500
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
257 : 1, 257
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,490,315,257,917, is 1.
Now, the common factors can be found like this.
210:2x 3x 5x 7
490:2x 5x 7x 7
315:3x 3x 5x 7
257:257
917:7x 131
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 5x 7x 7x 7 = 51450
Therefore, the value for common factors is 51450.
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 = 7638857131500/(1x51450)
LCM = 7638857131500/51450
LCM = 148471470
Thus, we can understand that the LCM of 210,490,315,257,917 is 148471470.
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FAQs on LCM of 210, 490, 315, 257, 917
1. What is the LCM of 210, 490, 315, 257, 917?
Answer: LCM of 210, 490, 315, 257, 917 is 148471470.
2. How to calculate the LCM of 210, 490, 315, 257, 917?
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 210, 490, 315, 257, 917.
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}.