LCM of 531, 735, 667, 322
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 531, 735, 667, 322 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 531, 735, 667, 322. So, keep reading to learn more.
Given numbers are 531,735,667,322
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,735,667,322 is 173546730.
Find LCM of 531,735,667,322 with Prime Factorization
| 3 | 531, 735, 667, 322 |
| 7 | 177, 245, 667, 322 |
| 23 | 177, 35, 667, 46 |
| 177, 35, 29, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 23 x 177 x 35 x 29 x 2 = 173546730
Therefore, the lowest common multiple of 531,735,667,322 is 173546730.
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.
531 x 735 x 667 x 322 = 83823070590
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.
531 : 1, 3, 9, 59, 177, 531
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
667 : 1, 23, 29, 667
322 : 1, 2, 7, 14, 23, 46, 161, 322
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,735,667,322, is 1.
Now, the common factors can be found like this.
531:3x 3x 59
735:3x 5x 7x 7
667:23x 29
322:2x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 23 = 483
Therefore, the value for common factors is 483.
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 = 83823070590/(1x483)
LCM = 83823070590/483
LCM = 173546730
Thus, we can understand that the LCM of 531,735,667,322 is 173546730.
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FAQs on LCM of 531, 735, 667, 322
1. What is the LCM of 531, 735, 667, 322?
Answer: LCM of 531, 735, 667, 322 is 173546730.
2. How to calculate the LCM of 531, 735, 667, 322?
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 531, 735, 667, 322.
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}.