LCM of 294, 424, 999, 435
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 294, 424, 999, 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 294, 424, 999, 435. So, keep reading to learn more.
Given numbers are 294,424,999,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,424,999,435 is 3009507480.
Find LCM of 294,424,999,435 with Prime Factorization
| 2 | 294, 424, 999, 435 |
| 3 | 147, 212, 999, 435 |
| 49, 212, 333, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 49 x 212 x 333 x 145 = 3009507480
Therefore, the lowest common multiple of 294,424,999,435 is 3009507480.
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.
294 x 424 x 999 x 435 = 54171134640
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.
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
424 : 1, 2, 4, 8, 53, 106, 212, 424
999 : 1, 3, 9, 27, 37, 111, 333, 999
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 294,424,999,435, is 1.
Now, the common factors can be found like this.
294:2x 3x 7x 7
424:2x 2x 2x 53
999:3x 3x 3x 37
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.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 54171134640/(1x18)
LCM = 54171134640/18
LCM = 3009507480
Thus, we can understand that the LCM of 294,424,999,435 is 3009507480.
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FAQs on LCM of 294, 424, 999, 435
1. What is the LCM of 294, 424, 999, 435?
Answer: LCM of 294, 424, 999, 435 is 3009507480.
2. How to calculate the LCM of 294, 424, 999, 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 294, 424, 999, 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}.