LCM of 464, 693, 308, 698, 929
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 464, 693, 308, 698, 929 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 464, 693, 308, 698, 929. So, keep reading to learn more.
Given numbers are 464,693,308,698,929
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 464,693,308,698,929 is 104253910992.
Find LCM of 464,693,308,698,929 with Prime Factorization
| 2 | 464, 693, 308, 698, 929 |
| 2 | 232, 693, 154, 349, 929 |
| 7 | 116, 693, 77, 349, 929 |
| 11 | 116, 99, 11, 349, 929 |
| 116, 9, 1, 349, 929 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 116 x 9 x 1 x 349 x 929 = 104253910992
Therefore, the lowest common multiple of 464,693,308,698,929 is 104253910992.
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.
464 x 693 x 308 x 698 x 929 = 64220409171072
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.
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
698 : 1, 2, 349, 698
929 : 1, 929
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,693,308,698,929, is 1.
Now, the common factors can be found like this.
464:2x 2x 2x 2x 29
693:3x 3x 7x 11
308:2x 2x 7x 11
698:2x 349
929:929
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 7x 11 = 616
Therefore, the value for common factors is 616.
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 = 64220409171072/(1x616)
LCM = 64220409171072/616
LCM = 104253910992
Thus, we can understand that the LCM of 464,693,308,698,929 is 104253910992.
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FAQs on LCM of 464, 693, 308, 698, 929
1. What is the LCM of 464, 693, 308, 698, 929?
Answer: LCM of 464, 693, 308, 698, 929 is 104253910992.
2. How to calculate the LCM of 464, 693, 308, 698, 929?
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 464, 693, 308, 698, 929.
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}.