LCM of 736, 901, 529, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 901, 529, 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 736, 901, 529, 689. So, keep reading to learn more.
Given numbers are 736,901,529,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,901,529,689 is 198277664.
Find LCM of 736,901,529,689 with Prime Factorization
| 23 | 736, 901, 529, 689 |
| 53 | 32, 901, 23, 689 |
| 32, 17, 23, 13 |
Multiply the prime numbers at the bottom and the left side.
23 x 53 x 32 x 17 x 23 x 13 = 198277664
Therefore, the lowest common multiple of 736,901,529,689 is 198277664.
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 901 x 529 x 689 = 241700472416
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
901 : 1, 17, 53, 901
529 : 1, 23, 529
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,901,529,689, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
901:17x 53
529:23x 23
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.
23x 53 = 1219
Therefore, the value for common factors is 1219.
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 = 241700472416/(1x1219)
LCM = 241700472416/1219
LCM = 198277664
Thus, we can understand that the LCM of 736,901,529,689 is 198277664.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 736, 901, 529, 689
1. What is the LCM of 736, 901, 529, 689?
Answer: LCM of 736, 901, 529, 689 is 198277664.
2. How to calculate the LCM of 736, 901, 529, 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 736, 901, 529, 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}.