LCM of 902, 204, 301, 473, 608
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 204, 301, 473, 608 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 902, 204, 301, 473, 608. So, keep reading to learn more.
Given numbers are 902,204,301,473,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,204,301,473,608 is 4209367008.
Find LCM of 902,204,301,473,608 with Prime Factorization
| 2 | 902, 204, 301, 473, 608 |
| 2 | 451, 102, 301, 473, 304 |
| 11 | 451, 51, 301, 473, 152 |
| 43 | 41, 51, 301, 43, 152 |
| 41, 51, 7, 1, 152 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 43 x 41 x 51 x 7 x 1 x 152 = 4209367008
Therefore, the lowest common multiple of 902,204,301,473,608 is 4209367008.
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.
902 x 204 x 301 x 473 x 608 = 15928244758272
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
301 : 1, 7, 43, 301
473 : 1, 11, 43, 473
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,204,301,473,608, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
204:2x 2x 3x 17
301:7x 43
473:11x 43
608:2x 2x 2x 2x 2x 19
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 11x 43 = 3784
Therefore, the value for common factors is 3784.
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 = 15928244758272/(1x3784)
LCM = 15928244758272/3784
LCM = 4209367008
Thus, we can understand that the LCM of 902,204,301,473,608 is 4209367008.
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FAQs on LCM of 902, 204, 301, 473, 608
1. What is the LCM of 902, 204, 301, 473, 608?
Answer: LCM of 902, 204, 301, 473, 608 is 4209367008.
2. How to calculate the LCM of 902, 204, 301, 473, 608?
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 902, 204, 301, 473, 608.
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}.