LCM of 781, 624, 429, 678, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 624, 429, 678, 309 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 781, 624, 429, 678, 309. So, keep reading to learn more.
Given numbers are 781,624,429,678,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,624,429,678,309 is 5672196816.
Find LCM of 781,624,429,678,309 with Prime Factorization
| 2 | 781, 624, 429, 678, 309 |
| 3 | 781, 312, 429, 339, 309 |
| 11 | 781, 104, 143, 113, 103 |
| 13 | 71, 104, 13, 113, 103 |
| 71, 8, 1, 113, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 71 x 8 x 1 x 113 x 103 = 5672196816
Therefore, the lowest common multiple of 781,624,429,678,309 is 5672196816.
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.
781 x 624 x 429 x 678 x 309 = 43800703813152
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.
781 : 1, 11, 71, 781
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
429 : 1, 3, 11, 13, 33, 39, 143, 429
678 : 1, 2, 3, 6, 113, 226, 339, 678
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,624,429,678,309, is 1.
Now, the common factors can be found like this.
781:11x 71
624:2x 2x 2x 2x 3x 13
429:3x 11x 13
678:2x 3x 113
309:3x 103
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 3x 3x 11x 13 = 7722
Therefore, the value for common factors is 7722.
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 = 43800703813152/(1x7722)
LCM = 43800703813152/7722
LCM = 5672196816
Thus, we can understand that the LCM of 781,624,429,678,309 is 5672196816.
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FAQs on LCM of 781, 624, 429, 678, 309
1. What is the LCM of 781, 624, 429, 678, 309?
Answer: LCM of 781, 624, 429, 678, 309 is 5672196816.
2. How to calculate the LCM of 781, 624, 429, 678, 309?
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 781, 624, 429, 678, 309.
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}.