LCM of 636, 200, 386, 152, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 636, 200, 386, 152, 510 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 636, 200, 386, 152, 510. So, keep reading to learn more.
Given numbers are 636,200,386,152,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,200,386,152,510 is 1982380200.
Find LCM of 636,200,386,152,510 with Prime Factorization
| 2 | 636, 200, 386, 152, 510 |
| 2 | 318, 100, 193, 76, 255 |
| 2 | 159, 50, 193, 38, 255 |
| 3 | 159, 25, 193, 19, 255 |
| 5 | 53, 25, 193, 19, 85 |
| 53, 5, 193, 19, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 53 x 5 x 193 x 19 x 17 = 1982380200
Therefore, the lowest common multiple of 636,200,386,152,510 is 1982380200.
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.
636 x 200 x 386 x 152 x 510 = 3806169984000
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.
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
386 : 1, 2, 193, 386
152 : 1, 2, 4, 8, 19, 38, 76, 152
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,200,386,152,510, is 2.
Now, the common factors can be found like this.
636:2x 2x 3x 53
200:2x 2x 2x 5x 5
386:2x 193
152:2x 2x 2x 19
510:2x 3x 5x 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 2x 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 3806169984000/(2x960)
LCM = 3806169984000/1920
LCM = 1982380200
Thus, we can understand that the LCM of 636,200,386,152,510 is 1982380200.
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FAQs on LCM of 636, 200, 386, 152, 510
1. What is the LCM of 636, 200, 386, 152, 510?
Answer: LCM of 636, 200, 386, 152, 510 is 1982380200.
2. How to calculate the LCM of 636, 200, 386, 152, 510?
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 636, 200, 386, 152, 510.
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}.