LCM of 179, 667, 493, 572, 736
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 179, 667, 493, 572, 736 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 179, 667, 493, 572, 736. So, keep reading to learn more.
Given numbers are 179,667,493,572,736
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 179,667,493,572,736 is 9287820256.
Find LCM of 179,667,493,572,736 with Prime Factorization
| 2 | 179, 667, 493, 572, 736 |
| 2 | 179, 667, 493, 286, 368 |
| 23 | 179, 667, 493, 143, 184 |
| 29 | 179, 29, 493, 143, 8 |
| 179, 1, 17, 143, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 29 x 179 x 1 x 17 x 143 x 8 = 9287820256
Therefore, the lowest common multiple of 179,667,493,572,736 is 9287820256.
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.
179 x 667 x 493 x 572 x 736 = 24779904443008
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.
179 : 1, 179
667 : 1, 23, 29, 667
493 : 1, 17, 29, 493
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 179,667,493,572,736, is 1.
Now, the common factors can be found like this.
179:179
667:23x 29
493:17x 29
572:2x 2x 11x 13
736:2x 2x 2x 2x 2x 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 23x 29 = 2668
Therefore, the value for common factors is 2668.
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 = 24779904443008/(1x2668)
LCM = 24779904443008/2668
LCM = 9287820256
Thus, we can understand that the LCM of 179,667,493,572,736 is 9287820256.
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FAQs on LCM of 179, 667, 493, 572, 736
1. What is the LCM of 179, 667, 493, 572, 736?
Answer: LCM of 179, 667, 493, 572, 736 is 9287820256.
2. How to calculate the LCM of 179, 667, 493, 572, 736?
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 179, 667, 493, 572, 736.
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}.