LCM of 409, 418, 312, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 418, 312, 968 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 409, 418, 312, 968. So, keep reading to learn more.
Given numbers are 409,418,312,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,418,312,968 is 293370792.
Find LCM of 409,418,312,968 with Prime Factorization
| 2 | 409, 418, 312, 968 |
| 2 | 409, 209, 156, 484 |
| 2 | 409, 209, 78, 242 |
| 11 | 409, 209, 39, 121 |
| 409, 19, 39, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 409 x 19 x 39 x 11 = 293370792
Therefore, the lowest common multiple of 409,418,312,968 is 293370792.
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.
409 x 418 x 312 x 968 = 51633259392
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.
409 : 1, 409
418 : 1, 2, 11, 19, 22, 38, 209, 418
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,418,312,968, is 1.
Now, the common factors can be found like this.
409:409
418:2x 11x 19
312:2x 2x 2x 3x 13
968:2x 2x 2x 11x 11
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 11 = 176
Therefore, the value for common factors is 176.
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 = 51633259392/(1x176)
LCM = 51633259392/176
LCM = 293370792
Thus, we can understand that the LCM of 409,418,312,968 is 293370792.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 409, 418, 312, 968
1. What is the LCM of 409, 418, 312, 968?
Answer: LCM of 409, 418, 312, 968 is 293370792.
2. How to calculate the LCM of 409, 418, 312, 968?
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 409, 418, 312, 968.
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}.