LCM of 167, 414, 699, 900, 464
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 167, 414, 699, 900, 464 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 167, 414, 699, 900, 464. So, keep reading to learn more.
Given numbers are 167,414,699,900,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 167,414,699,900,464 is 93433093200.
Find LCM of 167,414,699,900,464 with Prime Factorization
| 2 | 167, 414, 699, 900, 464 |
| 2 | 167, 207, 699, 450, 232 |
| 3 | 167, 207, 699, 225, 116 |
| 3 | 167, 69, 233, 75, 116 |
| 167, 23, 233, 25, 116 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 167 x 23 x 233 x 25 x 116 = 93433093200
Therefore, the lowest common multiple of 167,414,699,900,464 is 93433093200.
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.
167 x 414 x 699 x 900 x 464 = 20181548131200
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.
167 : 1, 167
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
699 : 1, 3, 233, 699
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,414,699,900,464, is 1.
Now, the common factors can be found like this.
167:167
414:2x 3x 3x 23
699:3x 233
900:2x 2x 3x 3x 5x 5
464:2x 2x 2x 2x 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 2x 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 20181548131200/(1x216)
LCM = 20181548131200/216
LCM = 93433093200
Thus, we can understand that the LCM of 167,414,699,900,464 is 93433093200.
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FAQs on LCM of 167, 414, 699, 900, 464
1. What is the LCM of 167, 414, 699, 900, 464?
Answer: LCM of 167, 414, 699, 900, 464 is 93433093200.
2. How to calculate the LCM of 167, 414, 699, 900, 464?
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 167, 414, 699, 900, 464.
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}.