LCM of 470, 136, 151, 680, 592
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 470, 136, 151, 680, 592 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 470, 136, 151, 680, 592. So, keep reading to learn more.
Given numbers are 470,136,151,680,592
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,136,151,680,592 is 357121040.
Find LCM of 470,136,151,680,592 with Prime Factorization
| 2 | 470, 136, 151, 680, 592 |
| 2 | 235, 68, 151, 340, 296 |
| 2 | 235, 34, 151, 170, 148 |
| 5 | 235, 17, 151, 85, 74 |
| 17 | 47, 17, 151, 17, 74 |
| 47, 1, 151, 1, 74 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 17 x 47 x 1 x 151 x 1 x 74 = 357121040
Therefore, the lowest common multiple of 470,136,151,680,592 is 357121040.
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.
470 x 136 x 151 x 680 x 592 = 3885476915200
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
136 : 1, 2, 4, 8, 17, 34, 68, 136
151 : 1, 151
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,136,151,680,592, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
136:2x 2x 2x 17
151:151
680:2x 2x 2x 5x 17
592:2x 2x 2x 2x 37
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 5x 17 = 10880
Therefore, the value for common factors is 10880.
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 = 3885476915200/(1x10880)
LCM = 3885476915200/10880
LCM = 357121040
Thus, we can understand that the LCM of 470,136,151,680,592 is 357121040.
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FAQs on LCM of 470, 136, 151, 680, 592
1. What is the LCM of 470, 136, 151, 680, 592?
Answer: LCM of 470, 136, 151, 680, 592 is 357121040.
2. How to calculate the LCM of 470, 136, 151, 680, 592?
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 470, 136, 151, 680, 592.
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}.