LCM of 470, 724, 902, 104, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 470, 724, 902, 104, 891 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, 724, 902, 104, 891. So, keep reading to learn more.
Given numbers are 470,724,902,104,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,724,902,104,891 is 161599992840.
Find LCM of 470,724,902,104,891 with Prime Factorization
| 2 | 470, 724, 902, 104, 891 |
| 2 | 235, 362, 451, 52, 891 |
| 11 | 235, 181, 451, 26, 891 |
| 235, 181, 41, 26, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 235 x 181 x 41 x 26 x 81 = 161599992840
Therefore, the lowest common multiple of 470,724,902,104,891 is 161599992840.
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 724 x 902 x 104 x 891 = 28441598739840
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
724 : 1, 2, 4, 181, 362, 724
902 : 1, 2, 11, 22, 41, 82, 451, 902
104 : 1, 2, 4, 8, 13, 26, 52, 104
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,724,902,104,891, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
724:2x 2x 181
902:2x 11x 41
104:2x 2x 2x 13
891:3x 3x 3x 3x 11
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 11 = 176
Therefore, the value for common factors is 176.
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 = 28441598739840/(1x176)
LCM = 28441598739840/176
LCM = 161599992840
Thus, we can understand that the LCM of 470,724,902,104,891 is 161599992840.
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FAQs on LCM of 470, 724, 902, 104, 891
1. What is the LCM of 470, 724, 902, 104, 891?
Answer: LCM of 470, 724, 902, 104, 891 is 161599992840.
2. How to calculate the LCM of 470, 724, 902, 104, 891?
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, 724, 902, 104, 891.
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}.