LCM of 336, 562, 598, 442, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 336, 562, 598, 442, 942 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 336, 562, 598, 442, 942. So, keep reading to learn more.
Given numbers are 336,562,598,442,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,562,598,442,942 is 75346894896.
Find LCM of 336,562,598,442,942 with Prime Factorization
| 2 | 336, 562, 598, 442, 942 |
| 3 | 168, 281, 299, 221, 471 |
| 13 | 56, 281, 299, 221, 157 |
| 56, 281, 23, 17, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 56 x 281 x 23 x 17 x 157 = 75346894896
Therefore, the lowest common multiple of 336,562,598,442,942 is 75346894896.
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.
336 x 562 x 598 x 442 x 942 = 47016462415104
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.
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
562 : 1, 2, 281, 562
598 : 1, 2, 13, 23, 26, 46, 299, 598
442 : 1, 2, 13, 17, 26, 34, 221, 442
942 : 1, 2, 3, 6, 157, 314, 471, 942
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,562,598,442,942, is 2.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
562:2x 281
598:2x 13x 23
442:2x 13x 17
942:2x 3x 157
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 47016462415104/(2x312)
LCM = 47016462415104/624
LCM = 75346894896
Thus, we can understand that the LCM of 336,562,598,442,942 is 75346894896.
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FAQs on LCM of 336, 562, 598, 442, 942
1. What is the LCM of 336, 562, 598, 442, 942?
Answer: LCM of 336, 562, 598, 442, 942 is 75346894896.
2. How to calculate the LCM of 336, 562, 598, 442, 942?
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 336, 562, 598, 442, 942.
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}.