LCM of 118, 451, 407, 147
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 118, 451, 407, 147 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 118, 451, 407, 147. So, keep reading to learn more.
Given numbers are 118,451,407,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,451,407,147 is 289452702.
Find LCM of 118,451,407,147 with Prime Factorization
| 11 | 118, 451, 407, 147 |
| 118, 41, 37, 147 |
Multiply the prime numbers at the bottom and the left side.
11 x 118 x 41 x 37 x 147 = 289452702
Therefore, the lowest common multiple of 118,451,407,147 is 289452702.
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.
118 x 451 x 407 x 147 = 3183979722
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.
118 : 1, 2, 59, 118
451 : 1, 11, 41, 451
407 : 1, 11, 37, 407
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,451,407,147, is 1.
Now, the common factors can be found like this.
118:2x 59
451:11x 41
407:11x 37
147:3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 3183979722/(1x11)
LCM = 3183979722/11
LCM = 289452702
Thus, we can understand that the LCM of 118,451,407,147 is 289452702.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 118, 451, 407, 147
1. What is the LCM of 118, 451, 407, 147?
Answer: LCM of 118, 451, 407, 147 is 289452702.
2. How to calculate the LCM of 118, 451, 407, 147?
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 118, 451, 407, 147.
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}.