LCM of 832, 299, 624, 771
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 832, 299, 624, 771 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 832, 299, 624, 771. So, keep reading to learn more.
Given numbers are 832,299,624,771
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 832,299,624,771 is 14753856.
Find LCM of 832,299,624,771 with Prime Factorization
| 2 | 832, 299, 624, 771 |
| 2 | 416, 299, 312, 771 |
| 2 | 208, 299, 156, 771 |
| 2 | 104, 299, 78, 771 |
| 3 | 52, 299, 39, 771 |
| 13 | 52, 299, 13, 257 |
| 4, 23, 1, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 13 x 4 x 23 x 1 x 257 = 14753856
Therefore, the lowest common multiple of 832,299,624,771 is 14753856.
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.
832 x 299 x 624 x 771 = 119683279872
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.
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
299 : 1, 13, 23, 299
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
771 : 1, 3, 257, 771
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 832,299,624,771, is 1.
Now, the common factors can be found like this.
832:2x 2x 2x 2x 2x 2x 13
299:13x 23
624:2x 2x 2x 2x 3x 13
771:3x 257
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 13x 13 = 8112
Therefore, the value for common factors is 8112.
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 = 119683279872/(1x8112)
LCM = 119683279872/8112
LCM = 14753856
Thus, we can understand that the LCM of 832,299,624,771 is 14753856.
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FAQs on LCM of 832, 299, 624, 771
1. What is the LCM of 832, 299, 624, 771?
Answer: LCM of 832, 299, 624, 771 is 14753856.
2. How to calculate the LCM of 832, 299, 624, 771?
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 832, 299, 624, 771.
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}.