LCM of 802, 330, 946, 515, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 802, 330, 946, 515, 594 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 802, 330, 946, 515, 594. So, keep reading to learn more.
Given numbers are 802,330,946,515,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 802,330,946,515,594 is 5274806130.
Find LCM of 802,330,946,515,594 with Prime Factorization
| 2 | 802, 330, 946, 515, 594 |
| 3 | 401, 165, 473, 515, 297 |
| 5 | 401, 55, 473, 515, 99 |
| 11 | 401, 11, 473, 103, 99 |
| 401, 1, 43, 103, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 401 x 1 x 43 x 103 x 9 = 5274806130
Therefore, the lowest common multiple of 802,330,946,515,594 is 5274806130.
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.
802 x 330 x 946 x 515 x 594 = 76590185007600
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.
802 : 1, 2, 401, 802
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
946 : 1, 2, 11, 22, 43, 86, 473, 946
515 : 1, 5, 103, 515
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,330,946,515,594, is 1.
Now, the common factors can be found like this.
802:2x 401
330:2x 3x 5x 11
946:2x 11x 43
515:5x 103
594:2x 3x 3x 3x 11
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 2x 3x 5x 11x 11 = 14520
Therefore, the value for common factors is 14520.
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 = 76590185007600/(1x14520)
LCM = 76590185007600/14520
LCM = 5274806130
Thus, we can understand that the LCM of 802,330,946,515,594 is 5274806130.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 802, 330, 946, 515, 594
1. What is the LCM of 802, 330, 946, 515, 594?
Answer: LCM of 802, 330, 946, 515, 594 is 5274806130.
2. How to calculate the LCM of 802, 330, 946, 515, 594?
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 802, 330, 946, 515, 594.
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}.