Find the LCM of 421, 408, 264, 674, 768 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 421, 408, 264, 674, 768. So, keep reading to learn more.
Given numbers are 421,408,264,674,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 421,408,264,674,768 is 20375807232.
Find LCM of 421,408,264,674,768 with Prime Factorization
2 | 421, 408, 264, 674, 768 |
2 | 421, 204, 132, 337, 384 |
2 | 421, 102, 66, 337, 192 |
3 | 421, 51, 33, 337, 96 |
421, 17, 11, 337, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 421 x 17 x 11 x 337 x 32 = 20375807232
Therefore, the lowest common multiple of 421,408,264,674,768 is 20375807232.
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.
421 x 408 x 264 x 674 x 768 = 23472929931264
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.
421 : 1, 421
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
674 : 1, 2, 337, 674
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,408,264,674,768, is 1.
Now, the common factors can be found like this.
421:421
408:2x 2x 2x 3x 17
264:2x 2x 2x 3x 11
674:2x 337
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 2x 2x 2x 3x 3 = 1152
Therefore, the value for common factors is 1152.
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 = 23472929931264/(1x1152)
LCM = 23472929931264/1152
LCM = 20375807232
Thus, we can understand that the LCM of 421,408,264,674,768 is 20375807232.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 421, 408, 264, 674, 768?
Answer: LCM of 421, 408, 264, 674, 768 is 20375807232.
2. How to calculate the LCM of 421, 408, 264, 674, 768?
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 421, 408, 264, 674, 768.
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}.