LCM of 220, 391, 946, 328
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 391, 946, 328 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 220, 391, 946, 328. So, keep reading to learn more.
Given numbers are 220,391,946,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,391,946,328 is 303306520.
Find LCM of 220,391,946,328 with Prime Factorization
| 2 | 220, 391, 946, 328 |
| 2 | 110, 391, 473, 164 |
| 11 | 55, 391, 473, 82 |
| 5, 391, 43, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 5 x 391 x 43 x 82 = 303306520
Therefore, the lowest common multiple of 220,391,946,328 is 303306520.
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.
220 x 391 x 946 x 328 = 26690973760
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
391 : 1, 17, 23, 391
946 : 1, 2, 11, 22, 43, 86, 473, 946
328 : 1, 2, 4, 8, 41, 82, 164, 328
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,391,946,328, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
391:17x 23
946:2x 11x 43
328:2x 2x 2x 41
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 11 = 88
Therefore, the value for common factors is 88.
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 = 26690973760/(1x88)
LCM = 26690973760/88
LCM = 303306520
Thus, we can understand that the LCM of 220,391,946,328 is 303306520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 220, 391, 946, 328
1. What is the LCM of 220, 391, 946, 328?
Answer: LCM of 220, 391, 946, 328 is 303306520.
2. How to calculate the LCM of 220, 391, 946, 328?
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 220, 391, 946, 328.
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}.