LCM of 612, 147, 315, 209, 491
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 147, 315, 209, 491 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 612, 147, 315, 209, 491. So, keep reading to learn more.
Given numbers are 612,147,315,209,491
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,147,315,209,491 is 15386692860.
Find LCM of 612,147,315,209,491 with Prime Factorization
| 3 | 612, 147, 315, 209, 491 |
| 3 | 204, 49, 105, 209, 491 |
| 7 | 68, 49, 35, 209, 491 |
| 68, 7, 5, 209, 491 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 68 x 7 x 5 x 209 x 491 = 15386692860
Therefore, the lowest common multiple of 612,147,315,209,491 is 15386692860.
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.
612 x 147 x 315 x 209 x 491 = 2908084950540
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
147 : 1, 3, 7, 21, 49, 147
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
209 : 1, 11, 19, 209
491 : 1, 491
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,147,315,209,491, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
147:3x 7x 7
315:3x 3x 5x 7
209:11x 19
491:491
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7 = 189
Therefore, the value for common factors is 189.
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 = 2908084950540/(1x189)
LCM = 2908084950540/189
LCM = 15386692860
Thus, we can understand that the LCM of 612,147,315,209,491 is 15386692860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 612, 147, 315, 209, 491
1. What is the LCM of 612, 147, 315, 209, 491?
Answer: LCM of 612, 147, 315, 209, 491 is 15386692860.
2. How to calculate the LCM of 612, 147, 315, 209, 491?
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 612, 147, 315, 209, 491.
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}.