LCM of 326, 736, 759, 182, 611
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 326, 736, 759, 182, 611 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 326, 736, 759, 182, 611. So, keep reading to learn more.
Given numbers are 326,736,759,182,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 326,736,759,182,611 is 16932403488.
Find LCM of 326,736,759,182,611 with Prime Factorization
| 2 | 326, 736, 759, 182, 611 |
| 13 | 163, 368, 759, 91, 611 |
| 23 | 163, 368, 759, 7, 47 |
| 163, 16, 33, 7, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 163 x 16 x 33 x 7 x 47 = 16932403488
Therefore, the lowest common multiple of 326,736,759,182,611 is 16932403488.
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.
326 x 736 x 759 x 182 x 611 = 20251154571648
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.
326 : 1, 2, 163, 326
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
759 : 1, 3, 11, 23, 33, 69, 253, 759
182 : 1, 2, 7, 13, 14, 26, 91, 182
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,736,759,182,611, is 1.
Now, the common factors can be found like this.
326:2x 163
736:2x 2x 2x 2x 2x 23
759:3x 11x 23
182:2x 7x 13
611:13x 47
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 13x 23 = 1196
Therefore, the value for common factors is 1196.
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 = 20251154571648/(1x1196)
LCM = 20251154571648/1196
LCM = 16932403488
Thus, we can understand that the LCM of 326,736,759,182,611 is 16932403488.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 326, 736, 759, 182, 611
1. What is the LCM of 326, 736, 759, 182, 611?
Answer: LCM of 326, 736, 759, 182, 611 is 16932403488.
2. How to calculate the LCM of 326, 736, 759, 182, 611?
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 326, 736, 759, 182, 611.
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}.