LCM of 606, 598, 506, 400, 668
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 598, 506, 400, 668 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, 598, 506, 400, 668. So, keep reading to learn more.
Given numbers are 606,598,506,400,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,598,506,400,668 is 66570675600.
Find LCM of 606,598,506,400,668 with Prime Factorization
| 2 | 606, 598, 506, 400, 668 |
| 2 | 303, 299, 253, 200, 334 |
| 23 | 303, 299, 253, 100, 167 |
| 303, 13, 11, 100, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 303 x 13 x 11 x 100 x 167 = 66570675600
Therefore, the lowest common multiple of 606,598,506,400,668 is 66570675600.
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 598 x 506 x 400 x 668 = 48996017241600
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
598 : 1, 2, 13, 23, 26, 46, 299, 598
506 : 1, 2, 11, 22, 23, 46, 253, 506
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
668 : 1, 2, 4, 167, 334, 668
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,598,506,400,668, is 2.
Now, the common factors can be found like this.
606:2x 3x 101
598:2x 13x 23
506:2x 11x 23
400:2x 2x 2x 2x 5x 5
668:2x 2x 167
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 23 = 368
Therefore, the value for common factors is 368.
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 = 48996017241600/(2x368)
LCM = 48996017241600/736
LCM = 66570675600
Thus, we can understand that the LCM of 606,598,506,400,668 is 66570675600.
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FAQs on LCM of 606, 598, 506, 400, 668
1. What is the LCM of 606, 598, 506, 400, 668?
Answer: LCM of 606, 598, 506, 400, 668 is 66570675600.
2. How to calculate the LCM of 606, 598, 506, 400, 668?
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, 598, 506, 400, 668.
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}.