LCM of 151, 872, 550, 946, 143
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 151, 872, 550, 946, 143 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 151, 872, 550, 946, 143. So, keep reading to learn more.
Given numbers are 151,872,550,946,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 151,872,550,946,143 is 20241278200.
Find LCM of 151,872,550,946,143 with Prime Factorization
| 2 | 151, 872, 550, 946, 143 |
| 11 | 151, 436, 275, 473, 143 |
| 151, 436, 25, 43, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 151 x 436 x 25 x 43 x 13 = 20241278200
Therefore, the lowest common multiple of 151,872,550,946,143 is 20241278200.
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.
151 x 872 x 550 x 946 x 143 = 9796778648800
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.
151 : 1, 151
872 : 1, 2, 4, 8, 109, 218, 436, 872
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
946 : 1, 2, 11, 22, 43, 86, 473, 946
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,872,550,946,143, is 1.
Now, the common factors can be found like this.
151:151
872:2x 2x 2x 109
550:2x 5x 5x 11
946:2x 11x 43
143:11x 13
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 11x 11 = 484
Therefore, the value for common factors is 484.
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 = 9796778648800/(1x484)
LCM = 9796778648800/484
LCM = 20241278200
Thus, we can understand that the LCM of 151,872,550,946,143 is 20241278200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 151, 872, 550, 946, 143
1. What is the LCM of 151, 872, 550, 946, 143?
Answer: LCM of 151, 872, 550, 946, 143 is 20241278200.
2. How to calculate the LCM of 151, 872, 550, 946, 143?
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 151, 872, 550, 946, 143.
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}.