LCM of 236, 649, 407, 574, 994
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 236, 649, 407, 574, 994 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 236, 649, 407, 574, 994. So, keep reading to learn more.
Given numbers are 236,649,407,574,994
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,649,407,574,994 is 1957251604.
Find LCM of 236,649,407,574,994 with Prime Factorization
| 2 | 236, 649, 407, 574, 994 |
| 7 | 118, 649, 407, 287, 497 |
| 11 | 118, 649, 407, 41, 71 |
| 59 | 118, 59, 37, 41, 71 |
| 2, 1, 37, 41, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 59 x 2 x 1 x 37 x 41 x 71 = 1957251604
Therefore, the lowest common multiple of 236,649,407,574,994 is 1957251604.
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.
236 x 649 x 407 x 574 x 994 = 35567176147888
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.
236 : 1, 2, 4, 59, 118, 236
649 : 1, 11, 59, 649
407 : 1, 11, 37, 407
574 : 1, 2, 7, 14, 41, 82, 287, 574
994 : 1, 2, 7, 14, 71, 142, 497, 994
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,649,407,574,994, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
649:11x 59
407:11x 37
574:2x 7x 41
994:2x 7x 71
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 7x 11x 59 = 18172
Therefore, the value for common factors is 18172.
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 = 35567176147888/(1x18172)
LCM = 35567176147888/18172
LCM = 1957251604
Thus, we can understand that the LCM of 236,649,407,574,994 is 1957251604.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 236, 649, 407, 574, 994
1. What is the LCM of 236, 649, 407, 574, 994?
Answer: LCM of 236, 649, 407, 574, 994 is 1957251604.
2. How to calculate the LCM of 236, 649, 407, 574, 994?
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 236, 649, 407, 574, 994.
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}.