LCM of 435, 998, 930, 434, 126
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 435, 998, 930, 434, 126 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, 998, 930, 434, 126. So, keep reading to learn more.
Given numbers are 435,998,930,434,126
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 435,998,930,434,126 is 282618630.
Find LCM of 435,998,930,434,126 with Prime Factorization
| 2 | 435, 998, 930, 434, 126 |
| 3 | 435, 499, 465, 217, 63 |
| 5 | 145, 499, 155, 217, 21 |
| 7 | 29, 499, 31, 217, 21 |
| 31 | 29, 499, 31, 31, 3 |
| 29, 499, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 31 x 29 x 499 x 1 x 1 x 3 = 282618630
Therefore, the lowest common multiple of 435,998,930,434,126 is 282618630.
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 998 x 930 x 434 x 126 = 22078167375600
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
998 : 1, 2, 499, 998
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
434 : 1, 2, 7, 14, 31, 62, 217, 434
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,998,930,434,126, is 1.
Now, the common factors can be found like this.
435:3x 5x 29
998:2x 499
930:2x 3x 5x 31
434:2x 7x 31
126:2x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 5x 7x 31 = 78120
Therefore, the value for common factors is 78120.
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 = 22078167375600/(1x78120)
LCM = 22078167375600/78120
LCM = 282618630
Thus, we can understand that the LCM of 435,998,930,434,126 is 282618630.
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FAQs on LCM of 435, 998, 930, 434, 126
1. What is the LCM of 435, 998, 930, 434, 126?
Answer: LCM of 435, 998, 930, 434, 126 is 282618630.
2. How to calculate the LCM of 435, 998, 930, 434, 126?
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, 998, 930, 434, 126.
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}.