LCM of 362, 232, 962, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 232, 962, 580 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 362, 232, 962, 580. So, keep reading to learn more.
Given numbers are 362,232,962,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,232,962,580 is 100990760.
Find LCM of 362,232,962,580 with Prime Factorization
| 2 | 362, 232, 962, 580 |
| 2 | 181, 116, 481, 290 |
| 29 | 181, 58, 481, 145 |
| 181, 2, 481, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 181 x 2 x 481 x 5 = 100990760
Therefore, the lowest common multiple of 362,232,962,580 is 100990760.
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.
362 x 232 x 962 x 580 = 46859712640
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.
362 : 1, 2, 181, 362
232 : 1, 2, 4, 8, 29, 58, 116, 232
962 : 1, 2, 13, 26, 37, 74, 481, 962
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,232,962,580, is 2.
Now, the common factors can be found like this.
362:2x 181
232:2x 2x 2x 29
962:2x 13x 37
580:2x 2x 5x 29
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 29 = 232
Therefore, the value for common factors is 232.
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 = 46859712640/(2x232)
LCM = 46859712640/464
LCM = 100990760
Thus, we can understand that the LCM of 362,232,962,580 is 100990760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 362, 232, 962, 580
1. What is the LCM of 362, 232, 962, 580?
Answer: LCM of 362, 232, 962, 580 is 100990760.
2. How to calculate the LCM of 362, 232, 962, 580?
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 362, 232, 962, 580.
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}.