LCM of 134, 736, 169, 335, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 134, 736, 169, 335, 175 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, 736, 169, 335, 175. So, keep reading to learn more.
Given numbers are 134,736,169,335,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 134,736,169,335,175 is 1458402400.
Find LCM of 134,736,169,335,175 with Prime Factorization
| 2 | 134, 736, 169, 335, 175 |
| 5 | 67, 368, 169, 335, 175 |
| 67 | 67, 368, 169, 67, 35 |
| 1, 368, 169, 1, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 67 x 1 x 368 x 169 x 1 x 35 = 1458402400
Therefore, the lowest common multiple of 134,736,169,335,175 is 1458402400.
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 736 x 169 x 335 x 175 = 977129608000
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
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
169 : 1, 13, 169
335 : 1, 5, 67, 335
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 134,736,169,335,175, is 1.
Now, the common factors can be found like this.
134:2x 67
736:2x 2x 2x 2x 2x 23
169:13x 13
335:5x 67
175:5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 67 = 670
Therefore, the value for common factors is 670.
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 = 977129608000/(1x670)
LCM = 977129608000/670
LCM = 1458402400
Thus, we can understand that the LCM of 134,736,169,335,175 is 1458402400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 134, 736, 169, 335, 175
1. What is the LCM of 134, 736, 169, 335, 175?
Answer: LCM of 134, 736, 169, 335, 175 is 1458402400.
2. How to calculate the LCM of 134, 736, 169, 335, 175?
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, 736, 169, 335, 175.
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}.