LCM of 463, 594, 440, 153
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 594, 440, 153 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 463, 594, 440, 153. So, keep reading to learn more.
Given numbers are 463,594,440,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,594,440,153 is 93507480.
Find LCM of 463,594,440,153 with Prime Factorization
| 2 | 463, 594, 440, 153 |
| 3 | 463, 297, 220, 153 |
| 3 | 463, 99, 220, 51 |
| 11 | 463, 33, 220, 17 |
| 463, 3, 20, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 463 x 3 x 20 x 17 = 93507480
Therefore, the lowest common multiple of 463,594,440,153 is 93507480.
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.
463 x 594 x 440 x 153 = 18514481040
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.
463 : 1, 463
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
153 : 1, 3, 9, 17, 51, 153
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,594,440,153, is 1.
Now, the common factors can be found like this.
463:463
594:2x 3x 3x 3x 11
440:2x 2x 2x 5x 11
153:3x 3x 17
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 11 = 198
Therefore, the value for common factors is 198.
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 = 18514481040/(1x198)
LCM = 18514481040/198
LCM = 93507480
Thus, we can understand that the LCM of 463,594,440,153 is 93507480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 463, 594, 440, 153
1. What is the LCM of 463, 594, 440, 153?
Answer: LCM of 463, 594, 440, 153 is 93507480.
2. How to calculate the LCM of 463, 594, 440, 153?
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 463, 594, 440, 153.
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}.