LCM of 683, 473, 806, 294, 158
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 683, 473, 806, 294, 158 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 683, 473, 806, 294, 158. So, keep reading to learn more.
Given numbers are 683,473,806,294,158
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 683,473,806,294,158 is 3023857438602.
Find LCM of 683,473,806,294,158 with Prime Factorization
| 2 | 683, 473, 806, 294, 158 |
| 683, 473, 403, 147, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 683 x 473 x 403 x 147 x 79 = 3023857438602
Therefore, the lowest common multiple of 683,473,806,294,158 is 3023857438602.
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.
683 x 473 x 806 x 294 x 158 = 12095429754408
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.
683 : 1, 683
473 : 1, 11, 43, 473
806 : 1, 2, 13, 26, 31, 62, 403, 806
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
158 : 1, 2, 79, 158
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 683,473,806,294,158, is 1.
Now, the common factors can be found like this.
683:683
473:11x 43
806:2x 13x 31
294:2x 3x 7x 7
158:2x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 12095429754408/(1x4)
LCM = 12095429754408/4
LCM = 3023857438602
Thus, we can understand that the LCM of 683,473,806,294,158 is 3023857438602.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 683, 473, 806, 294, 158
1. What is the LCM of 683, 473, 806, 294, 158?
Answer: LCM of 683, 473, 806, 294, 158 is 3023857438602.
2. How to calculate the LCM of 683, 473, 806, 294, 158?
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 683, 473, 806, 294, 158.
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}.