LCM of 684, 769, 916, 432, 219
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 769, 916, 432, 219 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, 769, 916, 432, 219. So, keep reading to learn more.
Given numbers are 684,769,916,432,219
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,769,916,432,219 is 105516901584.
Find LCM of 684,769,916,432,219 with Prime Factorization
| 2 | 684, 769, 916, 432, 219 |
| 2 | 342, 769, 458, 216, 219 |
| 3 | 171, 769, 229, 108, 219 |
| 3 | 57, 769, 229, 36, 73 |
| 19, 769, 229, 12, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 769 x 229 x 12 x 73 = 105516901584
Therefore, the lowest common multiple of 684,769,916,432,219 is 105516901584.
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 769 x 916 x 432 x 219 = 45583301484288
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
769 : 1, 769
916 : 1, 2, 4, 229, 458, 916
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
219 : 1, 3, 73, 219
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,769,916,432,219, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
769:769
916:2x 2x 229
432:2x 2x 2x 2x 3x 3x 3
219:3x 73
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 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 45583301484288/(1x432)
LCM = 45583301484288/432
LCM = 105516901584
Thus, we can understand that the LCM of 684,769,916,432,219 is 105516901584.
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FAQs on LCM of 684, 769, 916, 432, 219
1. What is the LCM of 684, 769, 916, 432, 219?
Answer: LCM of 684, 769, 916, 432, 219 is 105516901584.
2. How to calculate the LCM of 684, 769, 916, 432, 219?
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, 769, 916, 432, 219.
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}.