LCM of 736, 758, 214, 695, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 758, 214, 695, 514 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, 758, 214, 695, 514. So, keep reading to learn more.
Given numbers are 736,758,214,695,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,758,214,695,514 is 5331123333920.
Find LCM of 736,758,214,695,514 with Prime Factorization
| 2 | 736, 758, 214, 695, 514 |
| 368, 379, 107, 695, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 368 x 379 x 107 x 695 x 257 = 5331123333920
Therefore, the lowest common multiple of 736,758,214,695,514 is 5331123333920.
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 758 x 214 x 695 x 514 = 42648986671360
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
758 : 1, 2, 379, 758
214 : 1, 2, 107, 214
695 : 1, 5, 139, 695
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,758,214,695,514, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
758:2x 379
214:2x 107
695:5x 139
514:2x 257
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 2 = 8
Therefore, the value for common factors is 8.
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 = 42648986671360/(1x8)
LCM = 42648986671360/8
LCM = 5331123333920
Thus, we can understand that the LCM of 736,758,214,695,514 is 5331123333920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 736, 758, 214, 695, 514
1. What is the LCM of 736, 758, 214, 695, 514?
Answer: LCM of 736, 758, 214, 695, 514 is 5331123333920.
2. How to calculate the LCM of 736, 758, 214, 695, 514?
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, 758, 214, 695, 514.
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}.