LCM of 416, 364, 677, 592, 182
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 364, 677, 592, 182 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 416, 364, 677, 592, 182. So, keep reading to learn more.
Given numbers are 416,364,677,592,182
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,364,677,592,182 is 72942688.
Find LCM of 416,364,677,592,182 with Prime Factorization
| 2 | 416, 364, 677, 592, 182 |
| 2 | 208, 182, 677, 296, 91 |
| 2 | 104, 91, 677, 148, 91 |
| 2 | 52, 91, 677, 74, 91 |
| 7 | 26, 91, 677, 37, 91 |
| 13 | 26, 13, 677, 37, 13 |
| 2, 1, 677, 37, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 13 x 2 x 1 x 677 x 37 x 1 = 72942688
Therefore, the lowest common multiple of 416,364,677,592,182 is 72942688.
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.
416 x 364 x 677 x 592 x 182 = 11045273587712
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
677 : 1, 677
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
182 : 1, 2, 7, 13, 14, 26, 91, 182
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,364,677,592,182, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
364:2x 2x 7x 13
677:677
592:2x 2x 2x 2x 37
182:2x 7x 13
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 7x 13x 13 = 151424
Therefore, the value for common factors is 151424.
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 = 11045273587712/(1x151424)
LCM = 11045273587712/151424
LCM = 72942688
Thus, we can understand that the LCM of 416,364,677,592,182 is 72942688.
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FAQs on LCM of 416, 364, 677, 592, 182
1. What is the LCM of 416, 364, 677, 592, 182?
Answer: LCM of 416, 364, 677, 592, 182 is 72942688.
2. How to calculate the LCM of 416, 364, 677, 592, 182?
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 416, 364, 677, 592, 182.
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}.