LCM of 336, 588, 414, 147, 683
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 336, 588, 414, 147, 683 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 336, 588, 414, 147, 683. So, keep reading to learn more.
Given numbers are 336,588,414,147,683
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,588,414,147,683 is 110842704.
Find LCM of 336,588,414,147,683 with Prime Factorization
| 2 | 336, 588, 414, 147, 683 |
| 2 | 168, 294, 207, 147, 683 |
| 3 | 84, 147, 207, 147, 683 |
| 7 | 28, 49, 69, 49, 683 |
| 7 | 4, 7, 69, 7, 683 |
| 4, 1, 69, 1, 683 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 4 x 1 x 69 x 1 x 683 = 110842704
Therefore, the lowest common multiple of 336,588,414,147,683 is 110842704.
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.
336 x 588 x 414 x 147 x 683 = 8212114253952
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.
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
147 : 1, 3, 7, 21, 49, 147
683 : 1, 683
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,588,414,147,683, is 1.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
588:2x 2x 3x 7x 7
414:2x 3x 3x 23
147:3x 7x 7
683:683
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 3x 3x 7x 7x 7 = 74088
Therefore, the value for common factors is 74088.
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 = 8212114253952/(1x74088)
LCM = 8212114253952/74088
LCM = 110842704
Thus, we can understand that the LCM of 336,588,414,147,683 is 110842704.
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FAQs on LCM of 336, 588, 414, 147, 683
1. What is the LCM of 336, 588, 414, 147, 683?
Answer: LCM of 336, 588, 414, 147, 683 is 110842704.
2. How to calculate the LCM of 336, 588, 414, 147, 683?
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 336, 588, 414, 147, 683.
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}.