LCM of 946, 153, 972, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 946, 153, 972, 308 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 946, 153, 972, 308. So, keep reading to learn more.
Given numbers are 946,153,972,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 946,153,972,308 is 54710964.
Find LCM of 946,153,972,308 with Prime Factorization
| 2 | 946, 153, 972, 308 |
| 2 | 473, 153, 486, 154 |
| 3 | 473, 153, 243, 77 |
| 3 | 473, 51, 81, 77 |
| 11 | 473, 17, 27, 77 |
| 43, 17, 27, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 43 x 17 x 27 x 7 = 54710964
Therefore, the lowest common multiple of 946,153,972,308 is 54710964.
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.
946 x 153 x 972 x 308 = 43331083488
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.
946 : 1, 2, 11, 22, 43, 86, 473, 946
153 : 1, 3, 9, 17, 51, 153
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,153,972,308, is 1.
Now, the common factors can be found like this.
946:2x 11x 43
153:3x 3x 17
972:2x 2x 3x 3x 3x 3x 3
308:2x 2x 7x 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 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 43331083488/(1x792)
LCM = 43331083488/792
LCM = 54710964
Thus, we can understand that the LCM of 946,153,972,308 is 54710964.
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FAQs on LCM of 946, 153, 972, 308
1. What is the LCM of 946, 153, 972, 308?
Answer: LCM of 946, 153, 972, 308 is 54710964.
2. How to calculate the LCM of 946, 153, 972, 308?
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 946, 153, 972, 308.
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}.