LCM of 829, 418, 322, 736, 630
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 829, 418, 322, 736, 630 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 829, 418, 322, 736, 630. So, keep reading to learn more.
Given numbers are 829,418,322,736,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,418,322,736,630 is 40168830240.
Find LCM of 829,418,322,736,630 with Prime Factorization
| 2 | 829, 418, 322, 736, 630 |
| 7 | 829, 209, 161, 368, 315 |
| 23 | 829, 209, 23, 368, 45 |
| 829, 209, 1, 16, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 829 x 209 x 1 x 16 x 45 = 40168830240
Therefore, the lowest common multiple of 829,418,322,736,630 is 40168830240.
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.
829 x 418 x 322 x 736 x 630 = 51737453349120
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.
829 : 1, 829
418 : 1, 2, 11, 19, 22, 38, 209, 418
322 : 1, 2, 7, 14, 23, 46, 161, 322
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,418,322,736,630, is 1.
Now, the common factors can be found like this.
829:829
418:2x 11x 19
322:2x 7x 23
736:2x 2x 2x 2x 2x 23
630:2x 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 2x 7x 23 = 1288
Therefore, the value for common factors is 1288.
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 = 51737453349120/(1x1288)
LCM = 51737453349120/1288
LCM = 40168830240
Thus, we can understand that the LCM of 829,418,322,736,630 is 40168830240.
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FAQs on LCM of 829, 418, 322, 736, 630
1. What is the LCM of 829, 418, 322, 736, 630?
Answer: LCM of 829, 418, 322, 736, 630 is 40168830240.
2. How to calculate the LCM of 829, 418, 322, 736, 630?
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 829, 418, 322, 736, 630.
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}.