LCM of 858, 636, 733, 871, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 636, 733, 871, 689 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 858, 636, 733, 871, 689. So, keep reading to learn more.
Given numbers are 858,636,733,871,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,636,733,871,689 is 4466547228.
Find LCM of 858,636,733,871,689 with Prime Factorization
| 2 | 858, 636, 733, 871, 689 |
| 3 | 429, 318, 733, 871, 689 |
| 13 | 143, 106, 733, 871, 689 |
| 53 | 11, 106, 733, 67, 53 |
| 11, 2, 733, 67, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 53 x 11 x 2 x 733 x 67 x 1 = 4466547228
Therefore, the lowest common multiple of 858,636,733,871,689 is 4466547228.
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.
858 x 636 x 733 x 871 x 689 = 240041181127176
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
733 : 1, 733
871 : 1, 13, 67, 871
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,636,733,871,689, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
636:2x 2x 3x 53
733:733
871:13x 67
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 13x 53 = 53742
Therefore, the value for common factors is 53742.
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 = 240041181127176/(1x53742)
LCM = 240041181127176/53742
LCM = 4466547228
Thus, we can understand that the LCM of 858,636,733,871,689 is 4466547228.
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FAQs on LCM of 858, 636, 733, 871, 689
1. What is the LCM of 858, 636, 733, 871, 689?
Answer: LCM of 858, 636, 733, 871, 689 is 4466547228.
2. How to calculate the LCM of 858, 636, 733, 871, 689?
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 858, 636, 733, 871, 689.
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}.