LCM of 312, 419, 221, 182, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 312, 419, 221, 182, 689 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 312, 419, 221, 182, 689. So, keep reading to learn more.
Given numbers are 312,419,221,182,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,419,221,182,689 is 824501496.
Find LCM of 312,419,221,182,689 with Prime Factorization
| 2 | 312, 419, 221, 182, 689 |
| 13 | 156, 419, 221, 91, 689 |
| 12, 419, 17, 7, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 12 x 419 x 17 x 7 x 53 = 824501496
Therefore, the lowest common multiple of 312,419,221,182,689 is 824501496.
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.
312 x 419 x 221 x 182 x 689 = 3622859573424
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
419 : 1, 419
221 : 1, 13, 17, 221
182 : 1, 2, 7, 13, 14, 26, 91, 182
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,419,221,182,689, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
419:419
221:13x 17
182:2x 7x 13
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13x 13 = 4394
Therefore, the value for common factors is 4394.
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 = 3622859573424/(1x4394)
LCM = 3622859573424/4394
LCM = 824501496
Thus, we can understand that the LCM of 312,419,221,182,689 is 824501496.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 312, 419, 221, 182, 689
1. What is the LCM of 312, 419, 221, 182, 689?
Answer: LCM of 312, 419, 221, 182, 689 is 824501496.
2. How to calculate the LCM of 312, 419, 221, 182, 689?
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 312, 419, 221, 182, 689.
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}.