LCM of 885, 667, 767, 931, 588
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 885, 667, 767, 931, 588 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 885, 667, 767, 931, 588. So, keep reading to learn more.
Given numbers are 885,667,767,931,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 885,667,767,931,588 is 28577361540.
Find LCM of 885,667,767,931,588 with Prime Factorization
| 3 | 885, 667, 767, 931, 588 |
| 7 | 295, 667, 767, 931, 196 |
| 7 | 295, 667, 767, 133, 28 |
| 59 | 295, 667, 767, 19, 4 |
| 5, 667, 13, 19, 4 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 7 x 59 x 5 x 667 x 13 x 19 x 4 = 28577361540
Therefore, the lowest common multiple of 885,667,767,931,588 is 28577361540.
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.
885 x 667 x 767 x 931 x 588 = 247851456636420
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.
885 : 1, 3, 5, 15, 59, 177, 295, 885
667 : 1, 23, 29, 667
767 : 1, 13, 59, 767
931 : 1, 7, 19, 49, 133, 931
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 885,667,767,931,588, is 1.
Now, the common factors can be found like this.
885:3x 5x 59
667:23x 29
767:13x 59
931:7x 7x 19
588:2x 2x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7x 59 = 8673
Therefore, the value for common factors is 8673.
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 = 247851456636420/(1x8673)
LCM = 247851456636420/8673
LCM = 28577361540
Thus, we can understand that the LCM of 885,667,767,931,588 is 28577361540.
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FAQs on LCM of 885, 667, 767, 931, 588
1. What is the LCM of 885, 667, 767, 931, 588?
Answer: LCM of 885, 667, 767, 931, 588 is 28577361540.
2. How to calculate the LCM of 885, 667, 767, 931, 588?
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 885, 667, 767, 931, 588.
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}.