LCM of 335, 956, 510, 134
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 335, 956, 510, 134 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 335, 956, 510, 134. So, keep reading to learn more.
Given numbers are 335,956,510,134
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 335,956,510,134 is 16333260.
Find LCM of 335,956,510,134 with Prime Factorization
| 2 | 335, 956, 510, 134 |
| 5 | 335, 478, 255, 67 |
| 67 | 67, 478, 51, 67 |
| 1, 478, 51, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 67 x 1 x 478 x 51 x 1 = 16333260
Therefore, the lowest common multiple of 335,956,510,134 is 16333260.
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.
335 x 956 x 510 x 134 = 21886568400
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.
335 : 1, 5, 67, 335
956 : 1, 2, 4, 239, 478, 956
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
134 : 1, 2, 67, 134
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 335,956,510,134, is 1.
Now, the common factors can be found like this.
335:5x 67
956:2x 2x 239
510:2x 3x 5x 17
134:2x 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 67 = 1340
Therefore, the value for common factors is 1340.
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 = 21886568400/(1x1340)
LCM = 21886568400/1340
LCM = 16333260
Thus, we can understand that the LCM of 335,956,510,134 is 16333260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 335, 956, 510, 134
1. What is the LCM of 335, 956, 510, 134?
Answer: LCM of 335, 956, 510, 134 is 16333260.
2. How to calculate the LCM of 335, 956, 510, 134?
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 335, 956, 510, 134.
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}.