LCM of 912, 464, 551, 607, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 912, 464, 551, 607, 672 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 912, 464, 551, 607, 672. So, keep reading to learn more.
Given numbers are 912,464,551,607,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 912,464,551,607,672 is 224755104.
Find LCM of 912,464,551,607,672 with Prime Factorization
| 2 | 912, 464, 551, 607, 672 |
| 2 | 456, 232, 551, 607, 336 |
| 2 | 228, 116, 551, 607, 168 |
| 2 | 114, 58, 551, 607, 84 |
| 3 | 57, 29, 551, 607, 42 |
| 19 | 19, 29, 551, 607, 14 |
| 29 | 1, 29, 29, 607, 14 |
| 1, 1, 1, 607, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 19 x 29 x 1 x 1 x 1 x 607 x 14 = 224755104
Therefore, the lowest common multiple of 912,464,551,607,672 is 224755104.
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.
912 x 464 x 551 x 607 x 672 = 95109167849472
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.
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
551 : 1, 19, 29, 551
607 : 1, 607
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,464,551,607,672, is 1.
Now, the common factors can be found like this.
912:2x 2x 2x 2x 3x 19
464:2x 2x 2x 2x 29
551:19x 29
607:607
672:2x 2x 2x 2x 2x 3x 7
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 2x 3x 19x 29 = 423168
Therefore, the value for common factors is 423168.
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 = 95109167849472/(1x423168)
LCM = 95109167849472/423168
LCM = 224755104
Thus, we can understand that the LCM of 912,464,551,607,672 is 224755104.
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FAQs on LCM of 912, 464, 551, 607, 672
1. What is the LCM of 912, 464, 551, 607, 672?
Answer: LCM of 912, 464, 551, 607, 672 is 224755104.
2. How to calculate the LCM of 912, 464, 551, 607, 672?
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 912, 464, 551, 607, 672.
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}.