LCM of 421, 714, 476, 465
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 421, 714, 476, 465 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, 714, 476, 465. So, keep reading to learn more.
Given numbers are 421,714,476,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 421,714,476,465 is 93184140.
Find LCM of 421,714,476,465 with Prime Factorization
| 2 | 421, 714, 476, 465 |
| 3 | 421, 357, 238, 465 |
| 7 | 421, 119, 238, 155 |
| 17 | 421, 17, 34, 155 |
| 421, 1, 2, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 421 x 1 x 2 x 155 = 93184140
Therefore, the lowest common multiple of 421,714,476,465 is 93184140.
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 714 x 476 x 465 = 66533475960
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
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,714,476,465, is 1.
Now, the common factors can be found like this.
421:421
714:2x 3x 7x 17
476:2x 2x 7x 17
465:3x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 17 = 714
Therefore, the value for common factors is 714.
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 = 66533475960/(1x714)
LCM = 66533475960/714
LCM = 93184140
Thus, we can understand that the LCM of 421,714,476,465 is 93184140.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 421, 714, 476, 465
1. What is the LCM of 421, 714, 476, 465?
Answer: LCM of 421, 714, 476, 465 is 93184140.
2. How to calculate the LCM of 421, 714, 476, 465?
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, 714, 476, 465.
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}.