LCM of 114, 302, 450, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 114, 302, 450, 988 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 114, 302, 450, 988. So, keep reading to learn more.
Given numbers are 114,302,450,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 114,302,450,988 is 33567300.
Find LCM of 114,302,450,988 with Prime Factorization
| 2 | 114, 302, 450, 988 |
| 3 | 57, 151, 225, 494 |
| 19 | 19, 151, 75, 494 |
| 1, 151, 75, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 1 x 151 x 75 x 26 = 33567300
Therefore, the lowest common multiple of 114,302,450,988 is 33567300.
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.
114 x 302 x 450 x 988 = 15306688800
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.
114 : 1, 2, 3, 6, 19, 38, 57, 114
302 : 1, 2, 151, 302
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,302,450,988, is 2.
Now, the common factors can be found like this.
114:2x 3x 19
302:2x 151
450:2x 3x 3x 5x 5
988:2x 2x 13x 19
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 3x 19 = 228
Therefore, the value for common factors is 228.
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 = 15306688800/(2x228)
LCM = 15306688800/456
LCM = 33567300
Thus, we can understand that the LCM of 114,302,450,988 is 33567300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 114, 302, 450, 988
1. What is the LCM of 114, 302, 450, 988?
Answer: LCM of 114, 302, 450, 988 is 33567300.
2. How to calculate the LCM of 114, 302, 450, 988?
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 114, 302, 450, 988.
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}.