LCM of 219, 749, 644, 184, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 219, 749, 644, 184, 987 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 219, 749, 644, 184, 987. So, keep reading to learn more.
Given numbers are 219,749,644,184,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 219,749,644,184,987 is 1418540088.
Find LCM of 219,749,644,184,987 with Prime Factorization
| 2 | 219, 749, 644, 184, 987 |
| 2 | 219, 749, 322, 92, 987 |
| 3 | 219, 749, 161, 46, 987 |
| 7 | 73, 749, 161, 46, 329 |
| 23 | 73, 107, 23, 46, 47 |
| 73, 107, 1, 2, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 23 x 73 x 107 x 1 x 2 x 47 = 1418540088
Therefore, the lowest common multiple of 219,749,644,184,987 is 1418540088.
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.
219 x 749 x 644 x 184 x 987 = 19184336150112
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.
219 : 1, 3, 73, 219
749 : 1, 7, 107, 749
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
184 : 1, 2, 4, 8, 23, 46, 92, 184
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 219,749,644,184,987, is 1.
Now, the common factors can be found like this.
219:3x 73
749:7x 107
644:2x 2x 7x 23
184:2x 2x 2x 23
987:3x 7x 47
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 3x 7x 7x 23 = 13524
Therefore, the value for common factors is 13524.
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 = 19184336150112/(1x13524)
LCM = 19184336150112/13524
LCM = 1418540088
Thus, we can understand that the LCM of 219,749,644,184,987 is 1418540088.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 219, 749, 644, 184, 987
1. What is the LCM of 219, 749, 644, 184, 987?
Answer: LCM of 219, 749, 644, 184, 987 is 1418540088.
2. How to calculate the LCM of 219, 749, 644, 184, 987?
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 219, 749, 644, 184, 987.
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}.