LCM of 596, 268, 358, 335
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 596, 268, 358, 335 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 596, 268, 358, 335. So, keep reading to learn more.
Given numbers are 596,268,358,335
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,268,358,335 is 35739140.
Find LCM of 596,268,358,335 with Prime Factorization
| 2 | 596, 268, 358, 335 |
| 2 | 298, 134, 179, 335 |
| 67 | 149, 67, 179, 335 |
| 149, 1, 179, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 67 x 149 x 1 x 179 x 5 = 35739140
Therefore, the lowest common multiple of 596,268,358,335 is 35739140.
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.
596 x 268 x 358 x 335 = 19156179040
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.
596 : 1, 2, 4, 149, 298, 596
268 : 1, 2, 4, 67, 134, 268
358 : 1, 2, 179, 358
335 : 1, 5, 67, 335
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,268,358,335, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
268:2x 2x 67
358:2x 179
335:5x 67
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 67 = 536
Therefore, the value for common factors is 536.
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 = 19156179040/(1x536)
LCM = 19156179040/536
LCM = 35739140
Thus, we can understand that the LCM of 596,268,358,335 is 35739140.
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FAQs on LCM of 596, 268, 358, 335
1. What is the LCM of 596, 268, 358, 335?
Answer: LCM of 596, 268, 358, 335 is 35739140.
2. How to calculate the LCM of 596, 268, 358, 335?
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 596, 268, 358, 335.
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}.