LCM of 314, 813, 735, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 813, 735, 385 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, 813, 735, 385. So, keep reading to learn more.
Given numbers are 314,813,735,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,813,735,385 is 687984990.
Find LCM of 314,813,735,385 with Prime Factorization
| 3 | 314, 813, 735, 385 |
| 5 | 314, 271, 245, 385 |
| 7 | 314, 271, 49, 77 |
| 314, 271, 7, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 314 x 271 x 7 x 11 = 687984990
Therefore, the lowest common multiple of 314,813,735,385 is 687984990.
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 813 x 735 x 385 = 72238423950
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
813 : 1, 3, 271, 813
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,813,735,385, is 1.
Now, the common factors can be found like this.
314:2x 157
813:3x 271
735:3x 5x 7x 7
385:5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7 = 105
Therefore, the value for common factors is 105.
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 = 72238423950/(1x105)
LCM = 72238423950/105
LCM = 687984990
Thus, we can understand that the LCM of 314,813,735,385 is 687984990.
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FAQs on LCM of 314, 813, 735, 385
1. What is the LCM of 314, 813, 735, 385?
Answer: LCM of 314, 813, 735, 385 is 687984990.
2. How to calculate the LCM of 314, 813, 735, 385?
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, 813, 735, 385.
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}.