LCM of 332, 475, 804, 648, 964
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 332, 475, 804, 648, 964 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 332, 475, 804, 648, 964. So, keep reading to learn more.
Given numbers are 332,475,804,648,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 332,475,804,648,964 is 412513867800.
Find LCM of 332,475,804,648,964 with Prime Factorization
| 2 | 332, 475, 804, 648, 964 |
| 2 | 166, 475, 402, 324, 482 |
| 3 | 83, 475, 201, 162, 241 |
| 83, 475, 67, 54, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 83 x 475 x 67 x 54 x 241 = 412513867800
Therefore, the lowest common multiple of 332,475,804,648,964 is 412513867800.
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.
332 x 475 x 804 x 648 x 964 = 79202662617600
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.
332 : 1, 2, 4, 83, 166, 332
475 : 1, 5, 19, 25, 95, 475
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,475,804,648,964, is 1.
Now, the common factors can be found like this.
332:2x 2x 83
475:5x 5x 19
804:2x 2x 3x 67
648:2x 2x 2x 3x 3x 3x 3
964:2x 2x 241
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 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 79202662617600/(1x192)
LCM = 79202662617600/192
LCM = 412513867800
Thus, we can understand that the LCM of 332,475,804,648,964 is 412513867800.
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FAQs on LCM of 332, 475, 804, 648, 964
1. What is the LCM of 332, 475, 804, 648, 964?
Answer: LCM of 332, 475, 804, 648, 964 is 412513867800.
2. How to calculate the LCM of 332, 475, 804, 648, 964?
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 332, 475, 804, 648, 964.
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}.