LCM of 253, 894, 286, 759, 706
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 894, 286, 759, 706 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 253, 894, 286, 759, 706. So, keep reading to learn more.
Given numbers are 253,894,286,759,706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,894,286,759,706 is 1037949198.
Find LCM of 253,894,286,759,706 with Prime Factorization
| 2 | 253, 894, 286, 759, 706 |
| 3 | 253, 447, 143, 759, 353 |
| 11 | 253, 149, 143, 253, 353 |
| 23 | 23, 149, 13, 23, 353 |
| 1, 149, 13, 1, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 23 x 1 x 149 x 13 x 1 x 353 = 1037949198
Therefore, the lowest common multiple of 253,894,286,759,706 is 1037949198.
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.
253 x 894 x 286 x 759 x 706 = 34663351416408
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.
253 : 1, 11, 23, 253
894 : 1, 2, 3, 6, 149, 298, 447, 894
286 : 1, 2, 11, 13, 22, 26, 143, 286
759 : 1, 3, 11, 23, 33, 69, 253, 759
706 : 1, 2, 353, 706
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,894,286,759,706, is 1.
Now, the common factors can be found like this.
253:11x 23
894:2x 3x 149
286:2x 11x 13
759:3x 11x 23
706:2x 353
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 3x 11x 11x 23 = 33396
Therefore, the value for common factors is 33396.
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 = 34663351416408/(1x33396)
LCM = 34663351416408/33396
LCM = 1037949198
Thus, we can understand that the LCM of 253,894,286,759,706 is 1037949198.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 253, 894, 286, 759, 706
1. What is the LCM of 253, 894, 286, 759, 706?
Answer: LCM of 253, 894, 286, 759, 706 is 1037949198.
2. How to calculate the LCM of 253, 894, 286, 759, 706?
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 253, 894, 286, 759, 706.
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}.