LCM of 469, 978, 335, 345, 435
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 469, 978, 335, 345, 435 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 469, 978, 335, 345, 435. So, keep reading to learn more.
Given numbers are 469,978,335,345,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,978,335,345,435 is 1529704470.
Find LCM of 469,978,335,345,435 with Prime Factorization
| 3 | 469, 978, 335, 345, 435 |
| 5 | 469, 326, 335, 115, 145 |
| 67 | 469, 326, 67, 23, 29 |
| 7, 326, 1, 23, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 67 x 7 x 326 x 1 x 23 x 29 = 1529704470
Therefore, the lowest common multiple of 469,978,335,345,435 is 1529704470.
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.
469 x 978 x 335 x 345 x 435 = 23060294885250
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.
469 : 1, 7, 67, 469
978 : 1, 2, 3, 6, 163, 326, 489, 978
335 : 1, 5, 67, 335
345 : 1, 3, 5, 15, 23, 69, 115, 345
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,978,335,345,435, is 1.
Now, the common factors can be found like this.
469:7x 67
978:2x 3x 163
335:5x 67
345:3x 5x 23
435:3x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5x 67 = 15075
Therefore, the value for common factors is 15075.
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 = 23060294885250/(1x15075)
LCM = 23060294885250/15075
LCM = 1529704470
Thus, we can understand that the LCM of 469,978,335,345,435 is 1529704470.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 469, 978, 335, 345, 435
1. What is the LCM of 469, 978, 335, 345, 435?
Answer: LCM of 469, 978, 335, 345, 435 is 1529704470.
2. How to calculate the LCM of 469, 978, 335, 345, 435?
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 469, 978, 335, 345, 435.
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}.