LCM of 437, 298, 391, 774
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 298, 391, 774 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 437, 298, 391, 774. So, keep reading to learn more.
Given numbers are 437,298,391,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,298,391,774 is 856756854.
Find LCM of 437,298,391,774 with Prime Factorization
| 2 | 437, 298, 391, 774 |
| 23 | 437, 149, 391, 387 |
| 19, 149, 17, 387 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 19 x 149 x 17 x 387 = 856756854
Therefore, the lowest common multiple of 437,298,391,774 is 856756854.
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.
437 x 298 x 391 x 774 = 39410815284
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.
437 : 1, 19, 23, 437
298 : 1, 2, 149, 298
391 : 1, 17, 23, 391
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,298,391,774, is 1.
Now, the common factors can be found like this.
437:19x 23
298:2x 149
391:17x 23
774:2x 3x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23 = 46
Therefore, the value for common factors is 46.
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 = 39410815284/(1x46)
LCM = 39410815284/46
LCM = 856756854
Thus, we can understand that the LCM of 437,298,391,774 is 856756854.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 437, 298, 391, 774
1. What is the LCM of 437, 298, 391, 774?
Answer: LCM of 437, 298, 391, 774 is 856756854.
2. How to calculate the LCM of 437, 298, 391, 774?
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 437, 298, 391, 774.
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}.