LCM of 220, 314, 952, 946, 446
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 314, 952, 946, 446 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, 314, 952, 946, 446. So, keep reading to learn more.
Given numbers are 220,314,952,946,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,314,952,946,446 is 78826566280.
Find LCM of 220,314,952,946,446 with Prime Factorization
| 2 | 220, 314, 952, 946, 446 |
| 2 | 110, 157, 476, 473, 223 |
| 11 | 55, 157, 238, 473, 223 |
| 5, 157, 238, 43, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 5 x 157 x 238 x 43 x 223 = 78826566280
Therefore, the lowest common multiple of 220,314,952,946,446 is 78826566280.
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 314 x 952 x 946 x 446 = 27746951330560
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
314 : 1, 2, 157, 314
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
946 : 1, 2, 11, 22, 43, 86, 473, 946
446 : 1, 2, 223, 446
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,314,952,946,446, is 2.
Now, the common factors can be found like this.
220:2x 2x 5x 11
314:2x 157
952:2x 2x 2x 7x 17
946:2x 11x 43
446:2x 223
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 2x 11 = 176
Therefore, the value for common factors is 176.
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 = 27746951330560/(2x176)
LCM = 27746951330560/352
LCM = 78826566280
Thus, we can understand that the LCM of 220,314,952,946,446 is 78826566280.
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FAQs on LCM of 220, 314, 952, 946, 446
1. What is the LCM of 220, 314, 952, 946, 446?
Answer: LCM of 220, 314, 952, 946, 446 is 78826566280.
2. How to calculate the LCM of 220, 314, 952, 946, 446?
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, 314, 952, 946, 446.
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}.