LCM of 322, 723, 414, 635
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 322, 723, 414, 635 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, 723, 414, 635. So, keep reading to learn more.
Given numbers are 322,723,414,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,723,414,635 is 443495430.
Find LCM of 322,723,414,635 with Prime Factorization
| 2 | 322, 723, 414, 635 |
| 3 | 161, 723, 207, 635 |
| 23 | 161, 241, 69, 635 |
| 7, 241, 3, 635 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 7 x 241 x 3 x 635 = 443495430
Therefore, the lowest common multiple of 322,723,414,635 is 443495430.
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 723 x 414 x 635 = 61202369340
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
723 : 1, 3, 241, 723
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,723,414,635, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
723:3x 241
414:2x 3x 3x 23
635:5x 127
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 23 = 138
Therefore, the value for common factors is 138.
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 = 61202369340/(1x138)
LCM = 61202369340/138
LCM = 443495430
Thus, we can understand that the LCM of 322,723,414,635 is 443495430.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 322, 723, 414, 635
1. What is the LCM of 322, 723, 414, 635?
Answer: LCM of 322, 723, 414, 635 is 443495430.
2. How to calculate the LCM of 322, 723, 414, 635?
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, 723, 414, 635.
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}.