LCM of 736, 524, 851, 408, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 524, 851, 408, 759 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 736, 524, 851, 408, 759. So, keep reading to learn more.
Given numbers are 736,524,851,408,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,524,851,408,759 is 2001306912.
Find LCM of 736,524,851,408,759 with Prime Factorization
| 2 | 736, 524, 851, 408, 759 |
| 2 | 368, 262, 851, 204, 759 |
| 2 | 184, 131, 851, 102, 759 |
| 3 | 92, 131, 851, 51, 759 |
| 23 | 92, 131, 851, 17, 253 |
| 4, 131, 37, 17, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 4 x 131 x 37 x 17 x 11 = 2001306912
Therefore, the lowest common multiple of 736,524,851,408,759 is 2001306912.
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.
736 x 524 x 851 x 408 x 759 = 101634370219008
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
524 : 1, 2, 4, 131, 262, 524
851 : 1, 23, 37, 851
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,524,851,408,759, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
524:2x 2x 131
851:23x 37
408:2x 2x 2x 3x 17
759:3x 11x 23
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 3x 23x 23 = 50784
Therefore, the value for common factors is 50784.
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 = 101634370219008/(1x50784)
LCM = 101634370219008/50784
LCM = 2001306912
Thus, we can understand that the LCM of 736,524,851,408,759 is 2001306912.
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FAQs on LCM of 736, 524, 851, 408, 759
1. What is the LCM of 736, 524, 851, 408, 759?
Answer: LCM of 736, 524, 851, 408, 759 is 2001306912.
2. How to calculate the LCM of 736, 524, 851, 408, 759?
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 736, 524, 851, 408, 759.
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}.