LCM of 264, 946, 343, 505, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 946, 343, 505, 894 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 264, 946, 343, 505, 894. So, keep reading to learn more.
Given numbers are 264,946,343,505,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,946,343,505,894 is 292984165320.
Find LCM of 264,946,343,505,894 with Prime Factorization
| 2 | 264, 946, 343, 505, 894 |
| 3 | 132, 473, 343, 505, 447 |
| 11 | 44, 473, 343, 505, 149 |
| 4, 43, 343, 505, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 4 x 43 x 343 x 505 x 149 = 292984165320
Therefore, the lowest common multiple of 264,946,343,505,894 is 292984165320.
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.
264 x 946 x 343 x 505 x 894 = 38673909822240
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
946 : 1, 2, 11, 22, 43, 86, 473, 946
343 : 1, 7, 49, 343
505 : 1, 5, 101, 505
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,946,343,505,894, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
946:2x 11x 43
343:7x 7x 7
505:5x 101
894:2x 3x 149
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 11 = 132
Therefore, the value for common factors is 132.
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 = 38673909822240/(1x132)
LCM = 38673909822240/132
LCM = 292984165320
Thus, we can understand that the LCM of 264,946,343,505,894 is 292984165320.
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FAQs on LCM of 264, 946, 343, 505, 894
1. What is the LCM of 264, 946, 343, 505, 894?
Answer: LCM of 264, 946, 343, 505, 894 is 292984165320.
2. How to calculate the LCM of 264, 946, 343, 505, 894?
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 264, 946, 343, 505, 894.
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}.