LCM of 696, 362, 979, 658
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 696, 362, 979, 658 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, 362, 979, 658. So, keep reading to learn more.
Given numbers are 696,362,979,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,362,979,658 is 40575735816.
Find LCM of 696,362,979,658 with Prime Factorization
| 2 | 696, 362, 979, 658 |
| 348, 181, 979, 329 |
Multiply the prime numbers at the bottom and the left side.
2 x 348 x 181 x 979 x 329 = 40575735816
Therefore, the lowest common multiple of 696,362,979,658 is 40575735816.
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 362 x 979 x 658 = 162302943264
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
362 : 1, 2, 181, 362
979 : 1, 11, 89, 979
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,362,979,658, is 1.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
362:2x 181
979:11x 89
658:2x 7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 162302943264/(1x4)
LCM = 162302943264/4
LCM = 40575735816
Thus, we can understand that the LCM of 696,362,979,658 is 40575735816.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 696, 362, 979, 658
1. What is the LCM of 696, 362, 979, 658?
Answer: LCM of 696, 362, 979, 658 is 40575735816.
2. How to calculate the LCM of 696, 362, 979, 658?
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, 362, 979, 658.
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}.