LCM of 322, 690, 493, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 322, 690, 493, 144 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 322, 690, 493, 144. So, keep reading to learn more.
Given numbers are 322,690,493,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,690,493,144 is 57148560.
Find LCM of 322,690,493,144 with Prime Factorization
| 2 | 322, 690, 493, 144 |
| 3 | 161, 345, 493, 72 |
| 23 | 161, 115, 493, 24 |
| 7, 5, 493, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 7 x 5 x 493 x 24 = 57148560
Therefore, the lowest common multiple of 322,690,493,144 is 57148560.
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.
322 x 690 x 493 x 144 = 15773002560
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
493 : 1, 17, 29, 493
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,690,493,144, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
690:2x 3x 5x 23
493:17x 29
144:2x 2x 2x 2x 3x 3
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 23 = 276
Therefore, the value for common factors is 276.
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 = 15773002560/(1x276)
LCM = 15773002560/276
LCM = 57148560
Thus, we can understand that the LCM of 322,690,493,144 is 57148560.
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FAQs on LCM of 322, 690, 493, 144
1. What is the LCM of 322, 690, 493, 144?
Answer: LCM of 322, 690, 493, 144 is 57148560.
2. How to calculate the LCM of 322, 690, 493, 144?
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 322, 690, 493, 144.
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}.