LCM of 434, 155, 979, 623, 299
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 434, 155, 979, 623, 299 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 434, 155, 979, 623, 299. So, keep reading to learn more.
Given numbers are 434,155,979,623,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 434,155,979,623,299 is 635204570.
Find LCM of 434,155,979,623,299 with Prime Factorization
| 7 | 434, 155, 979, 623, 299 |
| 31 | 62, 155, 979, 89, 299 |
| 89 | 2, 5, 979, 89, 299 |
| 2, 5, 11, 1, 299 |
Multiply the prime numbers at the bottom and the left side.
7 x 31 x 89 x 2 x 5 x 11 x 1 x 299 = 635204570
Therefore, the lowest common multiple of 434,155,979,623,299 is 635204570.
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.
434 x 155 x 979 x 623 x 299 = 12267705860410
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.
434 : 1, 2, 7, 14, 31, 62, 217, 434
155 : 1, 5, 31, 155
979 : 1, 11, 89, 979
623 : 1, 7, 89, 623
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,155,979,623,299, is 1.
Now, the common factors can be found like this.
434:2x 7x 31
155:5x 31
979:11x 89
623:7x 89
299:13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 31x 89 = 19313
Therefore, the value for common factors is 19313.
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 = 12267705860410/(1x19313)
LCM = 12267705860410/19313
LCM = 635204570
Thus, we can understand that the LCM of 434,155,979,623,299 is 635204570.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 434, 155, 979, 623, 299
1. What is the LCM of 434, 155, 979, 623, 299?
Answer: LCM of 434, 155, 979, 623, 299 is 635204570.
2. How to calculate the LCM of 434, 155, 979, 623, 299?
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 434, 155, 979, 623, 299.
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}.