LCM of 657, 219, 792, 152, 471
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 657, 219, 792, 152, 471 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 657, 219, 792, 152, 471. So, keep reading to learn more.
Given numbers are 657,219,792,152,471
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,219,792,152,471 is 172465128.
Find LCM of 657,219,792,152,471 with Prime Factorization
| 2 | 657, 219, 792, 152, 471 |
| 2 | 657, 219, 396, 76, 471 |
| 2 | 657, 219, 198, 38, 471 |
| 3 | 657, 219, 99, 19, 471 |
| 3 | 73, 219, 33, 19, 157 |
| 73 | 73, 73, 11, 19, 157 |
| 1, 1, 11, 19, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 73 x 1 x 1 x 11 x 19 x 157 = 172465128
Therefore, the lowest common multiple of 657,219,792,152,471 is 172465128.
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.
657 x 219 x 792 x 152 x 471 = 8158290414912
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.
657 : 1, 3, 9, 73, 219, 657
219 : 1, 3, 73, 219
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
152 : 1, 2, 4, 8, 19, 38, 76, 152
471 : 1, 3, 157, 471
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,219,792,152,471, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
219:3x 73
792:2x 2x 2x 3x 3x 11
152:2x 2x 2x 19
471:3x 157
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 3x 3x 3x 3x 73 = 47304
Therefore, the value for common factors is 47304.
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 = 8158290414912/(1x47304)
LCM = 8158290414912/47304
LCM = 172465128
Thus, we can understand that the LCM of 657,219,792,152,471 is 172465128.
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FAQs on LCM of 657, 219, 792, 152, 471
1. What is the LCM of 657, 219, 792, 152, 471?
Answer: LCM of 657, 219, 792, 152, 471 is 172465128.
2. How to calculate the LCM of 657, 219, 792, 152, 471?
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 657, 219, 792, 152, 471.
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}.