LCM of 889, 462, 974, 567, 396
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 889, 462, 974, 567, 396 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 889, 462, 974, 567, 396. So, keep reading to learn more.
Given numbers are 889,462,974,567,396
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,462,974,567,396 is 1543008852.
Find LCM of 889,462,974,567,396 with Prime Factorization
| 2 | 889, 462, 974, 567, 396 |
| 3 | 889, 231, 487, 567, 198 |
| 3 | 889, 77, 487, 189, 66 |
| 7 | 889, 77, 487, 63, 22 |
| 11 | 127, 11, 487, 9, 22 |
| 127, 1, 487, 9, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 11 x 127 x 1 x 487 x 9 x 2 = 1543008852
Therefore, the lowest common multiple of 889,462,974,567,396 is 1543008852.
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.
889 x 462 x 974 x 567 x 396 = 89821631292624
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.
889 : 1, 7, 127, 889
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
974 : 1, 2, 487, 974
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,462,974,567,396, is 1.
Now, the common factors can be found like this.
889:7x 127
462:2x 3x 7x 11
974:2x 487
567:3x 3x 3x 3x 7
396:2x 2x 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 3x 3x 3x 7x 7x 11 = 58212
Therefore, the value for common factors is 58212.
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 = 89821631292624/(1x58212)
LCM = 89821631292624/58212
LCM = 1543008852
Thus, we can understand that the LCM of 889,462,974,567,396 is 1543008852.
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FAQs on LCM of 889, 462, 974, 567, 396
1. What is the LCM of 889, 462, 974, 567, 396?
Answer: LCM of 889, 462, 974, 567, 396 is 1543008852.
2. How to calculate the LCM of 889, 462, 974, 567, 396?
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 889, 462, 974, 567, 396.
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}.