LCM of 902, 473, 798, 570, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 473, 798, 570, 788 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, 473, 798, 570, 788. So, keep reading to learn more.
Given numbers are 902,473,798,570,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,473,798,570,788 is 30486959580.
Find LCM of 902,473,798,570,788 with Prime Factorization
| 2 | 902, 473, 798, 570, 788 |
| 3 | 451, 473, 399, 285, 394 |
| 11 | 451, 473, 133, 95, 394 |
| 19 | 41, 43, 133, 95, 394 |
| 41, 43, 7, 5, 394 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 41 x 43 x 7 x 5 x 394 = 30486959580
Therefore, the lowest common multiple of 902,473,798,570,788 is 30486959580.
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 473 x 798 x 570 x 788 = 152922589253280
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
473 : 1, 11, 43, 473
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,473,798,570,788, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
473:11x 43
798:2x 3x 7x 19
570:2x 3x 5x 19
788:2x 2x 197
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 11x 19 = 5016
Therefore, the value for common factors is 5016.
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 = 152922589253280/(1x5016)
LCM = 152922589253280/5016
LCM = 30486959580
Thus, we can understand that the LCM of 902,473,798,570,788 is 30486959580.
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FAQs on LCM of 902, 473, 798, 570, 788
1. What is the LCM of 902, 473, 798, 570, 788?
Answer: LCM of 902, 473, 798, 570, 788 is 30486959580.
2. How to calculate the LCM of 902, 473, 798, 570, 788?
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, 473, 798, 570, 788.
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}.