LCM of 667, 836, 264, 136
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 836, 264, 136 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 667, 836, 264, 136. So, keep reading to learn more.
Given numbers are 667,836,264,136
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,836,264,136 is 56876424.
Find LCM of 667,836,264,136 with Prime Factorization
| 2 | 667, 836, 264, 136 |
| 2 | 667, 418, 132, 68 |
| 2 | 667, 209, 66, 34 |
| 11 | 667, 209, 33, 17 |
| 667, 19, 3, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 667 x 19 x 3 x 17 = 56876424
Therefore, the lowest common multiple of 667,836,264,136 is 56876424.
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.
667 x 836 x 264 x 136 = 20020501248
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.
667 : 1, 23, 29, 667
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
136 : 1, 2, 4, 8, 17, 34, 68, 136
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,836,264,136, is 1.
Now, the common factors can be found like this.
667:23x 29
836:2x 2x 11x 19
264:2x 2x 2x 3x 11
136:2x 2x 2x 17
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 2x 2x 11 = 352
Therefore, the value for common factors is 352.
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 = 20020501248/(1x352)
LCM = 20020501248/352
LCM = 56876424
Thus, we can understand that the LCM of 667,836,264,136 is 56876424.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 667, 836, 264, 136
1. What is the LCM of 667, 836, 264, 136?
Answer: LCM of 667, 836, 264, 136 is 56876424.
2. How to calculate the LCM of 667, 836, 264, 136?
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 667, 836, 264, 136.
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}.