LCM of 606, 594, 720, 521, 136
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 594, 720, 521, 136 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, 594, 720, 521, 136. So, keep reading to learn more.
Given numbers are 606,594,720,521,136
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,594,720,521,136 is 21254674320.
Find LCM of 606,594,720,521,136 with Prime Factorization
| 2 | 606, 594, 720, 521, 136 |
| 2 | 303, 297, 360, 521, 68 |
| 2 | 303, 297, 180, 521, 34 |
| 3 | 303, 297, 90, 521, 17 |
| 3 | 101, 99, 30, 521, 17 |
| 101, 33, 10, 521, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 101 x 33 x 10 x 521 x 17 = 21254674320
Therefore, the lowest common multiple of 606,594,720,521,136 is 21254674320.
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 594 x 720 x 521 x 136 = 18364038612480
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
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
521 : 1, 521
136 : 1, 2, 4, 8, 17, 34, 68, 136
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,594,720,521,136, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
594:2x 3x 3x 3x 11
720:2x 2x 2x 2x 3x 3x 5
521:521
136:2x 2x 2x 17
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 2x 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 18364038612480/(1x864)
LCM = 18364038612480/864
LCM = 21254674320
Thus, we can understand that the LCM of 606,594,720,521,136 is 21254674320.
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FAQs on LCM of 606, 594, 720, 521, 136
1. What is the LCM of 606, 594, 720, 521, 136?
Answer: LCM of 606, 594, 720, 521, 136 is 21254674320.
2. How to calculate the LCM of 606, 594, 720, 521, 136?
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, 594, 720, 521, 136.
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}.