LCM of 862, 489, 158, 869, 635
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 862, 489, 158, 869, 635 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 862, 489, 158, 869, 635. So, keep reading to learn more.
Given numbers are 862,489,158,869,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 862,489,158,869,635 is 232599955170.
Find LCM of 862,489,158,869,635 with Prime Factorization
| 2 | 862, 489, 158, 869, 635 |
| 79 | 431, 489, 79, 869, 635 |
| 431, 489, 1, 11, 635 |
Multiply the prime numbers at the bottom and the left side.
2 x 79 x 431 x 489 x 1 x 11 x 635 = 232599955170
Therefore, the lowest common multiple of 862,489,158,869,635 is 232599955170.
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.
862 x 489 x 158 x 869 x 635 = 36750792916860
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.
862 : 1, 2, 431, 862
489 : 1, 3, 163, 489
158 : 1, 2, 79, 158
869 : 1, 11, 79, 869
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,489,158,869,635, is 1.
Now, the common factors can be found like this.
862:2x 431
489:3x 163
158:2x 79
869:11x 79
635:5x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 79 = 158
Therefore, the value for common factors is 158.
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 = 36750792916860/(1x158)
LCM = 36750792916860/158
LCM = 232599955170
Thus, we can understand that the LCM of 862,489,158,869,635 is 232599955170.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 862, 489, 158, 869, 635
1. What is the LCM of 862, 489, 158, 869, 635?
Answer: LCM of 862, 489, 158, 869, 635 is 232599955170.
2. How to calculate the LCM of 862, 489, 158, 869, 635?
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 862, 489, 158, 869, 635.
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}.