LCM of 470, 988, 916, 962, 623
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 470, 988, 916, 962, 623 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, 988, 916, 962, 623. So, keep reading to learn more.
Given numbers are 470,988,916,962,623
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,988,916,962,623 is 1225603690220.
Find LCM of 470,988,916,962,623 with Prime Factorization
| 2 | 470, 988, 916, 962, 623 |
| 2 | 235, 494, 458, 481, 623 |
| 13 | 235, 247, 229, 481, 623 |
| 235, 19, 229, 37, 623 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 235 x 19 x 229 x 37 x 623 = 1225603690220
Therefore, the lowest common multiple of 470,988,916,962,623 is 1225603690220.
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 988 x 916 x 962 x 623 = 254925567565760
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
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
916 : 1, 2, 4, 229, 458, 916
962 : 1, 2, 13, 26, 37, 74, 481, 962
623 : 1, 7, 89, 623
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,988,916,962,623, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
988:2x 2x 13x 19
916:2x 2x 229
962:2x 13x 37
623:7x 89
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 13 = 208
Therefore, the value for common factors is 208.
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 = 254925567565760/(1x208)
LCM = 254925567565760/208
LCM = 1225603690220
Thus, we can understand that the LCM of 470,988,916,962,623 is 1225603690220.
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FAQs on LCM of 470, 988, 916, 962, 623
1. What is the LCM of 470, 988, 916, 962, 623?
Answer: LCM of 470, 988, 916, 962, 623 is 1225603690220.
2. How to calculate the LCM of 470, 988, 916, 962, 623?
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, 988, 916, 962, 623.
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}.