LCM of 435, 321, 321, 546, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 435, 321, 321, 546, 690 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 435, 321, 321, 546, 690. So, keep reading to learn more.
Given numbers are 435,321,321,546,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 435,321,321,546,690 is 194837370.
Find LCM of 435,321,321,546,690 with Prime Factorization
| 2 | 435, 321, 321, 546, 690 |
| 3 | 435, 321, 321, 273, 345 |
| 5 | 145, 107, 107, 91, 115 |
| 107 | 29, 107, 107, 91, 23 |
| 29, 1, 1, 91, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 107 x 29 x 1 x 1 x 91 x 23 = 194837370
Therefore, the lowest common multiple of 435,321,321,546,690 is 194837370.
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.
435 x 321 x 321 x 546 x 690 = 16886554857900
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.
435 : 1, 3, 5, 15, 29, 87, 145, 435
321 : 1, 3, 107, 321
321 : 1, 3, 107, 321
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,321,321,546,690, is 3.
Now, the common factors can be found like this.
435:3x 5x 29
321:3x 107
321:3x 107
546:2x 3x 7x 13
690:2x 3x 5x 23
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 3x 5x 107 = 28890
Therefore, the value for common factors is 28890.
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 = 16886554857900/(3x28890)
LCM = 16886554857900/86670
LCM = 194837370
Thus, we can understand that the LCM of 435,321,321,546,690 is 194837370.
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FAQs on LCM of 435, 321, 321, 546, 690
1. What is the LCM of 435, 321, 321, 546, 690?
Answer: LCM of 435, 321, 321, 546, 690 is 194837370.
2. How to calculate the LCM of 435, 321, 321, 546, 690?
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 435, 321, 321, 546, 690.
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}.