LCM of 684, 412, 739, 414, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 412, 739, 414, 624 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, 412, 739, 414, 624. So, keep reading to learn more.
Given numbers are 684,412,739,414,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,412,739,414,624 is 62268577488.
Find LCM of 684,412,739,414,624 with Prime Factorization
| 2 | 684, 412, 739, 414, 624 |
| 2 | 342, 206, 739, 207, 312 |
| 3 | 171, 103, 739, 207, 156 |
| 3 | 57, 103, 739, 69, 52 |
| 19, 103, 739, 23, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 103 x 739 x 23 x 52 = 62268577488
Therefore, the lowest common multiple of 684,412,739,414,624 is 62268577488.
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 412 x 739 x 414 x 624 = 53800050949632
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
412 : 1, 2, 4, 103, 206, 412
739 : 1, 739
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,412,739,414,624, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
412:2x 2x 103
739:739
414:2x 3x 3x 23
624:2x 2x 2x 2x 3x 13
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 2x 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 53800050949632/(1x864)
LCM = 53800050949632/864
LCM = 62268577488
Thus, we can understand that the LCM of 684,412,739,414,624 is 62268577488.
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FAQs on LCM of 684, 412, 739, 414, 624
1. What is the LCM of 684, 412, 739, 414, 624?
Answer: LCM of 684, 412, 739, 414, 624 is 62268577488.
2. How to calculate the LCM of 684, 412, 739, 414, 624?
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, 412, 739, 414, 624.
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}.