LCM of 499, 402, 144, 978, 153
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 499, 402, 144, 978, 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 499, 402, 144, 978, 153. So, keep reading to learn more.
Given numbers are 499,402,144,978,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 499,402,144,978,153 is 13340569392.
Find LCM of 499,402,144,978,153 with Prime Factorization
| 2 | 499, 402, 144, 978, 153 |
| 3 | 499, 201, 72, 489, 153 |
| 3 | 499, 67, 24, 163, 51 |
| 499, 67, 8, 163, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 499 x 67 x 8 x 163 x 17 = 13340569392
Therefore, the lowest common multiple of 499,402,144,978,153 is 13340569392.
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.
499 x 402 x 144 x 978 x 153 = 4322344483008
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.
499 : 1, 499
402 : 1, 2, 3, 6, 67, 134, 201, 402
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
978 : 1, 2, 3, 6, 163, 326, 489, 978
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 499,402,144,978,153, is 1.
Now, the common factors can be found like this.
499:499
402:2x 3x 67
144:2x 2x 2x 2x 3x 3
978:2x 3x 163
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 2x 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 4322344483008/(1x324)
LCM = 4322344483008/324
LCM = 13340569392
Thus, we can understand that the LCM of 499,402,144,978,153 is 13340569392.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 499, 402, 144, 978, 153
1. What is the LCM of 499, 402, 144, 978, 153?
Answer: LCM of 499, 402, 144, 978, 153 is 13340569392.
2. How to calculate the LCM of 499, 402, 144, 978, 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 499, 402, 144, 978, 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}.