LCM of 391, 473, 969, 209, 640
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 473, 969, 209, 640 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 391, 473, 969, 209, 640. So, keep reading to learn more.
Given numbers are 391,473,969,209,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,473,969,209,640 is 6746720640.
Find LCM of 391,473,969,209,640 with Prime Factorization
| 11 | 391, 473, 969, 209, 640 |
| 17 | 391, 43, 969, 19, 640 |
| 19 | 23, 43, 57, 19, 640 |
| 23, 43, 3, 1, 640 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 19 x 23 x 43 x 3 x 1 x 640 = 6746720640
Therefore, the lowest common multiple of 391,473,969,209,640 is 6746720640.
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.
391 x 473 x 969 x 209 x 640 = 23971098433920
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.
391 : 1, 17, 23, 391
473 : 1, 11, 43, 473
969 : 1, 3, 17, 19, 51, 57, 323, 969
209 : 1, 11, 19, 209
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,473,969,209,640, is 1.
Now, the common factors can be found like this.
391:17x 23
473:11x 43
969:3x 17x 19
209:11x 19
640:2x 2x 2x 2x 2x 2x 2x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 17x 19 = 3553
Therefore, the value for common factors is 3553.
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 = 23971098433920/(1x3553)
LCM = 23971098433920/3553
LCM = 6746720640
Thus, we can understand that the LCM of 391,473,969,209,640 is 6746720640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 391, 473, 969, 209, 640
1. What is the LCM of 391, 473, 969, 209, 640?
Answer: LCM of 391, 473, 969, 209, 640 is 6746720640.
2. How to calculate the LCM of 391, 473, 969, 209, 640?
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 391, 473, 969, 209, 640.
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}.