LCM of 599, 117, 754, 924, 273
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 599, 117, 754, 924, 273 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 599, 117, 754, 924, 273. So, keep reading to learn more.
Given numbers are 599,117,754,924,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,117,754,924,273 is 625981356.
Find LCM of 599,117,754,924,273 with Prime Factorization
| 2 | 599, 117, 754, 924, 273 |
| 3 | 599, 117, 377, 462, 273 |
| 7 | 599, 39, 377, 154, 91 |
| 13 | 599, 39, 377, 22, 13 |
| 599, 3, 29, 22, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 599 x 3 x 29 x 22 x 1 = 625981356
Therefore, the lowest common multiple of 599,117,754,924,273 is 625981356.
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.
599 x 117 x 754 x 924 x 273 = 13329646994664
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.
599 : 1, 599
117 : 1, 3, 9, 13, 39, 117
754 : 1, 2, 13, 26, 29, 58, 377, 754
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,117,754,924,273, is 1.
Now, the common factors can be found like this.
599:599
117:3x 3x 13
754:2x 13x 29
924:2x 2x 3x 7x 11
273:3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 13x 13 = 21294
Therefore, the value for common factors is 21294.
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 = 13329646994664/(1x21294)
LCM = 13329646994664/21294
LCM = 625981356
Thus, we can understand that the LCM of 599,117,754,924,273 is 625981356.
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FAQs on LCM of 599, 117, 754, 924, 273
1. What is the LCM of 599, 117, 754, 924, 273?
Answer: LCM of 599, 117, 754, 924, 273 is 625981356.
2. How to calculate the LCM of 599, 117, 754, 924, 273?
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 599, 117, 754, 924, 273.
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}.