LCM of 143, 264, 598, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 143, 264, 598, 892 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 143, 264, 598, 892. So, keep reading to learn more.
Given numbers are 143,264,598,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 143,264,598,892 is 17602728.
Find LCM of 143,264,598,892 with Prime Factorization
| 2 | 143, 264, 598, 892 |
| 2 | 143, 132, 299, 446 |
| 11 | 143, 66, 299, 223 |
| 13 | 13, 6, 299, 223 |
| 1, 6, 23, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 1 x 6 x 23 x 223 = 17602728
Therefore, the lowest common multiple of 143,264,598,892 is 17602728.
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.
143 x 264 x 598 x 892 = 20137520832
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.
143 : 1, 11, 13, 143
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
598 : 1, 2, 13, 23, 26, 46, 299, 598
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,264,598,892, is 1.
Now, the common factors can be found like this.
143:11x 13
264:2x 2x 2x 3x 11
598:2x 13x 23
892:2x 2x 223
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 11x 13 = 1144
Therefore, the value for common factors is 1144.
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 = 20137520832/(1x1144)
LCM = 20137520832/1144
LCM = 17602728
Thus, we can understand that the LCM of 143,264,598,892 is 17602728.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 143, 264, 598, 892
1. What is the LCM of 143, 264, 598, 892?
Answer: LCM of 143, 264, 598, 892 is 17602728.
2. How to calculate the LCM of 143, 264, 598, 892?
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 143, 264, 598, 892.
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}.