LCM of 964, 501, 596, 804, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 501, 596, 804, 360 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 964, 501, 596, 804, 360. So, keep reading to learn more.
Given numbers are 964,501,596,804,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,501,596,804,360 is 144642888360.
Find LCM of 964,501,596,804,360 with Prime Factorization
| 2 | 964, 501, 596, 804, 360 |
| 2 | 482, 501, 298, 402, 180 |
| 3 | 241, 501, 149, 201, 90 |
| 241, 167, 149, 67, 30 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 241 x 167 x 149 x 67 x 30 = 144642888360
Therefore, the lowest common multiple of 964,501,596,804,360 is 144642888360.
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.
964 x 501 x 596 x 804 x 360 = 83314303695360
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.
964 : 1, 2, 4, 241, 482, 964
501 : 1, 3, 167, 501
596 : 1, 2, 4, 149, 298, 596
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,501,596,804,360, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
501:3x 167
596:2x 2x 149
804:2x 2x 3x 67
360:2x 2x 2x 3x 3x 5
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 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 83314303695360/(1x576)
LCM = 83314303695360/576
LCM = 144642888360
Thus, we can understand that the LCM of 964,501,596,804,360 is 144642888360.
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FAQs on LCM of 964, 501, 596, 804, 360
1. What is the LCM of 964, 501, 596, 804, 360?
Answer: LCM of 964, 501, 596, 804, 360 is 144642888360.
2. How to calculate the LCM of 964, 501, 596, 804, 360?
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 964, 501, 596, 804, 360.
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}.