LCM of 663, 631, 646, 833, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 663, 631, 646, 833, 714 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 663, 631, 646, 833, 714. So, keep reading to learn more.
Given numbers are 663,631,646,833,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 663,631,646,833,714 is 778973286.
Find LCM of 663,631,646,833,714 with Prime Factorization
| 2 | 663, 631, 646, 833, 714 |
| 3 | 663, 631, 323, 833, 357 |
| 7 | 221, 631, 323, 833, 119 |
| 17 | 221, 631, 323, 17, 119 |
| 13, 631, 19, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 13 x 631 x 19 x 1 x 7 = 778973286
Therefore, the lowest common multiple of 663,631,646,833,714 is 778973286.
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.
663 x 631 x 646 x 833 x 714 = 160738021672956
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.
663 : 1, 3, 13, 17, 39, 51, 221, 663
631 : 1, 631
646 : 1, 2, 17, 19, 34, 38, 323, 646
833 : 1, 7, 17, 49, 119, 833
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 663,631,646,833,714, is 1.
Now, the common factors can be found like this.
663:3x 13x 17
631:631
646:2x 17x 19
833:7x 7x 17
714:2x 3x 7x 17
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 7x 17x 17x 17 = 206346
Therefore, the value for common factors is 206346.
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 = 160738021672956/(1x206346)
LCM = 160738021672956/206346
LCM = 778973286
Thus, we can understand that the LCM of 663,631,646,833,714 is 778973286.
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FAQs on LCM of 663, 631, 646, 833, 714
1. What is the LCM of 663, 631, 646, 833, 714?
Answer: LCM of 663, 631, 646, 833, 714 is 778973286.
2. How to calculate the LCM of 663, 631, 646, 833, 714?
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 663, 631, 646, 833, 714.
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}.