LCM of 942, 352, 339, 570, 604
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 942, 352, 339, 570, 604 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 942, 352, 339, 570, 604. So, keep reading to learn more.
Given numbers are 942,352,339,570,604
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,352,339,570,604 is 268746345120.
Find LCM of 942,352,339,570,604 with Prime Factorization
| 2 | 942, 352, 339, 570, 604 |
| 2 | 471, 176, 339, 285, 302 |
| 3 | 471, 88, 339, 285, 151 |
| 157, 88, 113, 95, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 157 x 88 x 113 x 95 x 151 = 268746345120
Therefore, the lowest common multiple of 942,352,339,570,604 is 268746345120.
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.
942 x 352 x 339 x 570 x 604 = 38699473697280
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.
942 : 1, 2, 3, 6, 157, 314, 471, 942
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
339 : 1, 3, 113, 339
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
604 : 1, 2, 4, 151, 302, 604
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,352,339,570,604, is 1.
Now, the common factors can be found like this.
942:2x 3x 157
352:2x 2x 2x 2x 2x 11
339:3x 113
570:2x 3x 5x 19
604:2x 2x 151
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 3 = 144
Therefore, the value for common factors is 144.
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 = 38699473697280/(1x144)
LCM = 38699473697280/144
LCM = 268746345120
Thus, we can understand that the LCM of 942,352,339,570,604 is 268746345120.
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FAQs on LCM of 942, 352, 339, 570, 604
1. What is the LCM of 942, 352, 339, 570, 604?
Answer: LCM of 942, 352, 339, 570, 604 is 268746345120.
2. How to calculate the LCM of 942, 352, 339, 570, 604?
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 942, 352, 339, 570, 604.
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}.