LCM of 598, 437, 456, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 437, 456, 264 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 598, 437, 456, 264. So, keep reading to learn more.
Given numbers are 598,437,456,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,437,456,264 is 1499784.
Find LCM of 598,437,456,264 with Prime Factorization
| 2 | 598, 437, 456, 264 |
| 2 | 299, 437, 228, 132 |
| 2 | 299, 437, 114, 66 |
| 3 | 299, 437, 57, 33 |
| 19 | 299, 437, 19, 11 |
| 23 | 299, 23, 1, 11 |
| 13, 1, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 23 x 13 x 1 x 1 x 11 = 1499784
Therefore, the lowest common multiple of 598,437,456,264 is 1499784.
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.
598 x 437 x 456 x 264 = 31459469184
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
437 : 1, 19, 23, 437
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,437,456,264, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
437:19x 23
456:2x 2x 2x 3x 19
264:2x 2x 2x 3x 11
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 19x 23 = 20976
Therefore, the value for common factors is 20976.
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 = 31459469184/(1x20976)
LCM = 31459469184/20976
LCM = 1499784
Thus, we can understand that the LCM of 598,437,456,264 is 1499784.
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FAQs on LCM of 598, 437, 456, 264
1. What is the LCM of 598, 437, 456, 264?
Answer: LCM of 598, 437, 456, 264 is 1499784.
2. How to calculate the LCM of 598, 437, 456, 264?
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 598, 437, 456, 264.
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}.