LCM of 606, 588, 146, 652, 350
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 588, 146, 652, 350 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 606, 588, 146, 652, 350. So, keep reading to learn more.
Given numbers are 606,588,146,652,350
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,588,146,652,350 is 17666445300.
Find LCM of 606,588,146,652,350 with Prime Factorization
| 2 | 606, 588, 146, 652, 350 |
| 2 | 303, 294, 73, 326, 175 |
| 3 | 303, 147, 73, 163, 175 |
| 7 | 101, 49, 73, 163, 175 |
| 101, 7, 73, 163, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 101 x 7 x 73 x 163 x 25 = 17666445300
Therefore, the lowest common multiple of 606,588,146,652,350 is 17666445300.
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.
606 x 588 x 146 x 652 x 350 = 11871851241600
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
146 : 1, 2, 73, 146
652 : 1, 2, 4, 163, 326, 652
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,588,146,652,350, is 2.
Now, the common factors can be found like this.
606:2x 3x 101
588:2x 2x 3x 7x 7
146:2x 73
652:2x 2x 163
350:2x 5x 5x 7
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 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 11871851241600/(2x336)
LCM = 11871851241600/672
LCM = 17666445300
Thus, we can understand that the LCM of 606,588,146,652,350 is 17666445300.
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FAQs on LCM of 606, 588, 146, 652, 350
1. What is the LCM of 606, 588, 146, 652, 350?
Answer: LCM of 606, 588, 146, 652, 350 is 17666445300.
2. How to calculate the LCM of 606, 588, 146, 652, 350?
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 606, 588, 146, 652, 350.
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}.