LCM of 684, 997, 924, 535, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 997, 924, 535, 868 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 684, 997, 924, 535, 868. So, keep reading to learn more.
Given numbers are 684,997,924,535,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,997,924,535,868 is 870878283660.
Find LCM of 684,997,924,535,868 with Prime Factorization
| 2 | 684, 997, 924, 535, 868 |
| 2 | 342, 997, 462, 535, 434 |
| 3 | 171, 997, 231, 535, 217 |
| 7 | 57, 997, 77, 535, 217 |
| 57, 997, 11, 535, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 57 x 997 x 11 x 535 x 31 = 870878283660
Therefore, the lowest common multiple of 684,997,924,535,868 is 870878283660.
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.
684 x 997 x 924 x 535 x 868 = 292615103309760
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
997 : 1, 997
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
535 : 1, 5, 107, 535
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,997,924,535,868, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
997:997
924:2x 2x 3x 7x 11
535:5x 107
868:2x 2x 7x 31
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 2x 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 292615103309760/(1x336)
LCM = 292615103309760/336
LCM = 870878283660
Thus, we can understand that the LCM of 684,997,924,535,868 is 870878283660.
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FAQs on LCM of 684, 997, 924, 535, 868
1. What is the LCM of 684, 997, 924, 535, 868?
Answer: LCM of 684, 997, 924, 535, 868 is 870878283660.
2. How to calculate the LCM of 684, 997, 924, 535, 868?
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 684, 997, 924, 535, 868.
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}.