LCM of 358, 105, 436, 402
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 358, 105, 436, 402 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 358, 105, 436, 402. So, keep reading to learn more.
Given numbers are 358,105,436,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,105,436,402 is 549039540.
Find LCM of 358,105,436,402 with Prime Factorization
| 2 | 358, 105, 436, 402 |
| 3 | 179, 105, 218, 201 |
| 179, 35, 218, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 179 x 35 x 218 x 67 = 549039540
Therefore, the lowest common multiple of 358,105,436,402 is 549039540.
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.
358 x 105 x 436 x 402 = 6588474480
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.
358 : 1, 2, 179, 358
105 : 1, 3, 5, 7, 15, 21, 35, 105
436 : 1, 2, 4, 109, 218, 436
402 : 1, 2, 3, 6, 67, 134, 201, 402
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,105,436,402, is 1.
Now, the common factors can be found like this.
358:2x 179
105:3x 5x 7
436:2x 2x 109
402:2x 3x 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 3 = 12
Therefore, the value for common factors is 12.
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 = 6588474480/(1x12)
LCM = 6588474480/12
LCM = 549039540
Thus, we can understand that the LCM of 358,105,436,402 is 549039540.
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FAQs on LCM of 358, 105, 436, 402
1. What is the LCM of 358, 105, 436, 402?
Answer: LCM of 358, 105, 436, 402 is 549039540.
2. How to calculate the LCM of 358, 105, 436, 402?
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 358, 105, 436, 402.
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}.