LCM of 874, 264, 820, 562, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 264, 820, 562, 369 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 874, 264, 820, 562, 369. So, keep reading to learn more.
Given numbers are 874,264,820,562,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,264,820,562,369 is 19937320920.
Find LCM of 874,264,820,562,369 with Prime Factorization
| 2 | 874, 264, 820, 562, 369 |
| 2 | 437, 132, 410, 281, 369 |
| 3 | 437, 66, 205, 281, 369 |
| 41 | 437, 22, 205, 281, 123 |
| 437, 22, 5, 281, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 437 x 22 x 5 x 281 x 3 = 19937320920
Therefore, the lowest common multiple of 874,264,820,562,369 is 19937320920.
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.
874 x 264 x 820 x 562 x 369 = 39236647570560
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
562 : 1, 2, 281, 562
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,264,820,562,369, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
264:2x 2x 2x 3x 11
820:2x 2x 5x 41
562:2x 281
369:3x 3x 41
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 2x 3x 41 = 1968
Therefore, the value for common factors is 1968.
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 = 39236647570560/(1x1968)
LCM = 39236647570560/1968
LCM = 19937320920
Thus, we can understand that the LCM of 874,264,820,562,369 is 19937320920.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 874, 264, 820, 562, 369
1. What is the LCM of 874, 264, 820, 562, 369?
Answer: LCM of 874, 264, 820, 562, 369 is 19937320920.
2. How to calculate the LCM of 874, 264, 820, 562, 369?
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 874, 264, 820, 562, 369.
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}.