LCM of 134, 429, 507, 123
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 134, 429, 507, 123 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 134, 429, 507, 123. So, keep reading to learn more.
Given numbers are 134,429,507,123
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 134,429,507,123 is 30640038.
Find LCM of 134,429,507,123 with Prime Factorization
| 3 | 134, 429, 507, 123 |
| 13 | 134, 143, 169, 41 |
| 134, 11, 13, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 134 x 11 x 13 x 41 = 30640038
Therefore, the lowest common multiple of 134,429,507,123 is 30640038.
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.
134 x 429 x 507 x 123 = 3584884446
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.
134 : 1, 2, 67, 134
429 : 1, 3, 11, 13, 33, 39, 143, 429
507 : 1, 3, 13, 39, 169, 507
123 : 1, 3, 41, 123
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 134,429,507,123, is 1.
Now, the common factors can be found like this.
134:2x 67
429:3x 11x 13
507:3x 13x 13
123:3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13 = 117
Therefore, the value for common factors is 117.
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 = 3584884446/(1x117)
LCM = 3584884446/117
LCM = 30640038
Thus, we can understand that the LCM of 134,429,507,123 is 30640038.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 134, 429, 507, 123
1. What is the LCM of 134, 429, 507, 123?
Answer: LCM of 134, 429, 507, 123 is 30640038.
2. How to calculate the LCM of 134, 429, 507, 123?
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 134, 429, 507, 123.
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}.