LCM of 418, 506, 600, 336
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 506, 600, 336 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 418, 506, 600, 336. So, keep reading to learn more.
Given numbers are 418,506,600,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,506,600,336 is 40378800.
Find LCM of 418,506,600,336 with Prime Factorization
| 2 | 418, 506, 600, 336 |
| 2 | 209, 253, 300, 168 |
| 2 | 209, 253, 150, 84 |
| 3 | 209, 253, 75, 42 |
| 11 | 209, 253, 25, 14 |
| 19, 23, 25, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 19 x 23 x 25 x 14 = 40378800
Therefore, the lowest common multiple of 418,506,600,336 is 40378800.
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.
418 x 506 x 600 x 336 = 42640012800
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
506 : 1, 2, 11, 22, 23, 46, 253, 506
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,506,600,336, is 2.
Now, the common factors can be found like this.
418:2x 11x 19
506:2x 11x 23
600:2x 2x 2x 3x 5x 5
336:2x 2x 2x 2x 3x 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 11 = 528
Therefore, the value for common factors is 528.
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 = 42640012800/(2x528)
LCM = 42640012800/1056
LCM = 40378800
Thus, we can understand that the LCM of 418,506,600,336 is 40378800.
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FAQs on LCM of 418, 506, 600, 336
1. What is the LCM of 418, 506, 600, 336?
Answer: LCM of 418, 506, 600, 336 is 40378800.
2. How to calculate the LCM of 418, 506, 600, 336?
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 418, 506, 600, 336.
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}.