LCM of 894, 176, 723, 768, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 176, 723, 768, 506 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 894, 176, 723, 768, 506. So, keep reading to learn more.
Given numbers are 894,176,723,768,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,176,723,768,506 is 6977262336.
Find LCM of 894,176,723,768,506 with Prime Factorization
| 2 | 894, 176, 723, 768, 506 |
| 2 | 447, 88, 723, 384, 253 |
| 2 | 447, 44, 723, 192, 253 |
| 2 | 447, 22, 723, 96, 253 |
| 3 | 447, 11, 723, 48, 253 |
| 11 | 149, 11, 241, 16, 253 |
| 149, 1, 241, 16, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 149 x 1 x 241 x 16 x 23 = 6977262336
Therefore, the lowest common multiple of 894,176,723,768,506 is 6977262336.
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.
894 x 176 x 723 x 768 x 506 = 44207934160896
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
723 : 1, 3, 241, 723
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,176,723,768,506, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
176:2x 2x 2x 2x 11
723:3x 241
768:2x 2x 2x 2x 2x 2x 2x 2x 3
506:2x 11x 23
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 3x 3x 11 = 6336
Therefore, the value for common factors is 6336.
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 = 44207934160896/(1x6336)
LCM = 44207934160896/6336
LCM = 6977262336
Thus, we can understand that the LCM of 894,176,723,768,506 is 6977262336.
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FAQs on LCM of 894, 176, 723, 768, 506
1. What is the LCM of 894, 176, 723, 768, 506?
Answer: LCM of 894, 176, 723, 768, 506 is 6977262336.
2. How to calculate the LCM of 894, 176, 723, 768, 506?
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 894, 176, 723, 768, 506.
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}.