LCM of 696, 508, 506, 381
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 696, 508, 506, 381 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 696, 508, 506, 381. So, keep reading to learn more.
Given numbers are 696,508,506,381
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,508,506,381 is 22363176.
Find LCM of 696,508,506,381 with Prime Factorization
| 2 | 696, 508, 506, 381 |
| 2 | 348, 254, 253, 381 |
| 3 | 174, 127, 253, 381 |
| 127 | 58, 127, 253, 127 |
| 58, 1, 253, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 127 x 58 x 1 x 253 x 1 = 22363176
Therefore, the lowest common multiple of 696,508,506,381 is 22363176.
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.
696 x 508 x 506 x 381 = 68162960448
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.
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
508 : 1, 2, 4, 127, 254, 508
506 : 1, 2, 11, 22, 23, 46, 253, 506
381 : 1, 3, 127, 381
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,508,506,381, is 1.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
508:2x 2x 127
506:2x 11x 23
381:3x 127
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 3x 127 = 3048
Therefore, the value for common factors is 3048.
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 = 68162960448/(1x3048)
LCM = 68162960448/3048
LCM = 22363176
Thus, we can understand that the LCM of 696,508,506,381 is 22363176.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 696, 508, 506, 381
1. What is the LCM of 696, 508, 506, 381?
Answer: LCM of 696, 508, 506, 381 is 22363176.
2. How to calculate the LCM of 696, 508, 506, 381?
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 696, 508, 506, 381.
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}.