LCM of 135, 494, 182, 670
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 135, 494, 182, 670 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 135, 494, 182, 670. So, keep reading to learn more.
Given numbers are 135,494,182,670
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 135,494,182,670 is 31277610.
Find LCM of 135,494,182,670 with Prime Factorization
| 2 | 135, 494, 182, 670 |
| 5 | 135, 247, 91, 335 |
| 13 | 27, 247, 91, 67 |
| 27, 19, 7, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 27 x 19 x 7 x 67 = 31277610
Therefore, the lowest common multiple of 135,494,182,670 is 31277610.
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.
135 x 494 x 182 x 670 = 8132178600
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.
135 : 1, 3, 5, 9, 15, 27, 45, 135
494 : 1, 2, 13, 19, 26, 38, 247, 494
182 : 1, 2, 7, 13, 14, 26, 91, 182
670 : 1, 2, 5, 10, 67, 134, 335, 670
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,494,182,670, is 1.
Now, the common factors can be found like this.
135:3x 3x 3x 5
494:2x 13x 19
182:2x 7x 13
670:2x 5x 67
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 5x 13 = 260
Therefore, the value for common factors is 260.
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 = 8132178600/(1x260)
LCM = 8132178600/260
LCM = 31277610
Thus, we can understand that the LCM of 135,494,182,670 is 31277610.
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FAQs on LCM of 135, 494, 182, 670
1. What is the LCM of 135, 494, 182, 670?
Answer: LCM of 135, 494, 182, 670 is 31277610.
2. How to calculate the LCM of 135, 494, 182, 670?
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 135, 494, 182, 670.
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}.