LCM of 214, 118, 918, 107, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 214, 118, 918, 107, 315 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 214, 118, 918, 107, 315. So, keep reading to learn more.
Given numbers are 214,118,918,107,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 214,118,918,107,315 is 202836690.
Find LCM of 214,118,918,107,315 with Prime Factorization
| 2 | 214, 118, 918, 107, 315 |
| 3 | 107, 59, 459, 107, 315 |
| 3 | 107, 59, 153, 107, 105 |
| 107 | 107, 59, 51, 107, 35 |
| 1, 59, 51, 1, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 107 x 1 x 59 x 51 x 1 x 35 = 202836690
Therefore, the lowest common multiple of 214,118,918,107,315 is 202836690.
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.
214 x 118 x 918 x 107 x 315 = 781326929880
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.
214 : 1, 2, 107, 214
118 : 1, 2, 59, 118
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
107 : 1, 107
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,118,918,107,315, is 1.
Now, the common factors can be found like this.
214:2x 107
118:2x 59
918:2x 3x 3x 3x 17
107:107
315:3x 3x 5x 7
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 3x 3x 107 = 3852
Therefore, the value for common factors is 3852.
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 = 781326929880/(1x3852)
LCM = 781326929880/3852
LCM = 202836690
Thus, we can understand that the LCM of 214,118,918,107,315 is 202836690.
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FAQs on LCM of 214, 118, 918, 107, 315
1. What is the LCM of 214, 118, 918, 107, 315?
Answer: LCM of 214, 118, 918, 107, 315 is 202836690.
2. How to calculate the LCM of 214, 118, 918, 107, 315?
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 214, 118, 918, 107, 315.
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}.