LCM of 264, 893, 132, 146
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 893, 132, 146 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, 893, 132, 146. So, keep reading to learn more.
Given numbers are 264,893,132,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,893,132,146 is 17209896.
Find LCM of 264,893,132,146 with Prime Factorization
| 2 | 264, 893, 132, 146 |
| 2 | 132, 893, 66, 73 |
| 3 | 33, 893, 66, 73 |
| 11 | 11, 893, 22, 73 |
| 1, 893, 2, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 1 x 893 x 2 x 73 = 17209896
Therefore, the lowest common multiple of 264,893,132,146 is 17209896.
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 893 x 132 x 146 = 4543412544
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
893 : 1, 19, 47, 893
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,893,132,146, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
893:19x 47
132:2x 2x 3x 11
146:2x 73
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 11 = 264
Therefore, the value for common factors is 264.
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 = 4543412544/(1x264)
LCM = 4543412544/264
LCM = 17209896
Thus, we can understand that the LCM of 264,893,132,146 is 17209896.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 264, 893, 132, 146
1. What is the LCM of 264, 893, 132, 146?
Answer: LCM of 264, 893, 132, 146 is 17209896.
2. How to calculate the LCM of 264, 893, 132, 146?
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, 893, 132, 146.
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}.