LCM of 314, 369, 735, 943, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 369, 735, 943, 832 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 314, 369, 735, 943, 832. So, keep reading to learn more.
Given numbers are 314,369,735,943,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,369,735,943,832 is 271608442560.
Find LCM of 314,369,735,943,832 with Prime Factorization
| 2 | 314, 369, 735, 943, 832 |
| 3 | 157, 369, 735, 943, 416 |
| 41 | 157, 123, 245, 943, 416 |
| 157, 3, 245, 23, 416 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 157 x 3 x 245 x 23 x 416 = 271608442560
Therefore, the lowest common multiple of 314,369,735,943,832 is 271608442560.
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.
314 x 369 x 735 x 943 x 832 = 66815676869760
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.
314 : 1, 2, 157, 314
369 : 1, 3, 9, 41, 123, 369
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
943 : 1, 23, 41, 943
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,369,735,943,832, is 1.
Now, the common factors can be found like this.
314:2x 157
369:3x 3x 41
735:3x 5x 7x 7
943:23x 41
832:2x 2x 2x 2x 2x 2x 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 3x 41 = 246
Therefore, the value for common factors is 246.
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 = 66815676869760/(1x246)
LCM = 66815676869760/246
LCM = 271608442560
Thus, we can understand that the LCM of 314,369,735,943,832 is 271608442560.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 314, 369, 735, 943, 832
1. What is the LCM of 314, 369, 735, 943, 832?
Answer: LCM of 314, 369, 735, 943, 832 is 271608442560.
2. How to calculate the LCM of 314, 369, 735, 943, 832?
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 314, 369, 735, 943, 832.
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}.