LCM of 904, 954, 724, 652, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 904, 954, 724, 652, 768 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 904, 954, 724, 652, 768. So, keep reading to learn more.
Given numbers are 904,954,724,652,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,954,724,652,768 is 407101747968.
Find LCM of 904,954,724,652,768 with Prime Factorization
| 2 | 904, 954, 724, 652, 768 |
| 2 | 452, 477, 362, 326, 384 |
| 2 | 226, 477, 181, 163, 192 |
| 3 | 113, 477, 181, 163, 96 |
| 113, 159, 181, 163, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 113 x 159 x 181 x 163 x 32 = 407101747968
Therefore, the lowest common multiple of 904,954,724,652,768 is 407101747968.
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.
904 x 954 x 724 x 652 x 768 = 312654142439424
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
724 : 1, 2, 4, 181, 362, 724
652 : 1, 2, 4, 163, 326, 652
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,954,724,652,768, is 2.
Now, the common factors can be found like this.
904:2x 2x 2x 113
954:2x 3x 3x 53
724:2x 2x 181
652:2x 2x 163
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 2x 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 312654142439424/(2x384)
LCM = 312654142439424/768
LCM = 407101747968
Thus, we can understand that the LCM of 904,954,724,652,768 is 407101747968.
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FAQs on LCM of 904, 954, 724, 652, 768
1. What is the LCM of 904, 954, 724, 652, 768?
Answer: LCM of 904, 954, 724, 652, 768 is 407101747968.
2. How to calculate the LCM of 904, 954, 724, 652, 768?
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 904, 954, 724, 652, 768.
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}.