LCM of 292, 578, 507, 273, 304
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 292, 578, 507, 273, 304 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 292, 578, 507, 273, 304. So, keep reading to learn more.
Given numbers are 292,578,507,273,304
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,578,507,273,304 is 22761468912.
Find LCM of 292,578,507,273,304 with Prime Factorization
| 2 | 292, 578, 507, 273, 304 |
| 2 | 146, 289, 507, 273, 152 |
| 3 | 73, 289, 507, 273, 76 |
| 13 | 73, 289, 169, 91, 76 |
| 73, 289, 13, 7, 76 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 73 x 289 x 13 x 7 x 76 = 22761468912
Therefore, the lowest common multiple of 292,578,507,273,304 is 22761468912.
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.
292 x 578 x 507 x 273 x 304 = 7101578300544
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.
292 : 1, 2, 4, 73, 146, 292
578 : 1, 2, 17, 34, 289, 578
507 : 1, 3, 13, 39, 169, 507
273 : 1, 3, 7, 13, 21, 39, 91, 273
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,578,507,273,304, is 1.
Now, the common factors can be found like this.
292:2x 2x 73
578:2x 17x 17
507:3x 13x 13
273:3x 7x 13
304:2x 2x 2x 2x 19
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 = 7101578300544/(1x312)
LCM = 7101578300544/312
LCM = 22761468912
Thus, we can understand that the LCM of 292,578,507,273,304 is 22761468912.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 292, 578, 507, 273, 304
1. What is the LCM of 292, 578, 507, 273, 304?
Answer: LCM of 292, 578, 507, 273, 304 is 22761468912.
2. How to calculate the LCM of 292, 578, 507, 273, 304?
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 292, 578, 507, 273, 304.
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}.