LCM of 644, 319, 972, 724, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 644, 319, 972, 724, 260 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 644, 319, 972, 724, 260. So, keep reading to learn more.
Given numbers are 644,319,972,724,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 644,319,972,724,260 is 587319953220.
Find LCM of 644,319,972,724,260 with Prime Factorization
| 2 | 644, 319, 972, 724, 260 |
| 2 | 322, 319, 486, 362, 130 |
| 161, 319, 243, 181, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 161 x 319 x 243 x 181 x 65 = 587319953220
Therefore, the lowest common multiple of 644,319,972,724,260 is 587319953220.
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.
644 x 319 x 972 x 724 x 260 = 37588477006080
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.
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
319 : 1, 11, 29, 319
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
724 : 1, 2, 4, 181, 362, 724
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,319,972,724,260, is 1.
Now, the common factors can be found like this.
644:2x 2x 7x 23
319:11x 29
972:2x 2x 3x 3x 3x 3x 3
724:2x 2x 181
260:2x 2x 5x 13
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 2 = 64
Therefore, the value for common factors is 64.
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 = 37588477006080/(1x64)
LCM = 37588477006080/64
LCM = 587319953220
Thus, we can understand that the LCM of 644,319,972,724,260 is 587319953220.
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FAQs on LCM of 644, 319, 972, 724, 260
1. What is the LCM of 644, 319, 972, 724, 260?
Answer: LCM of 644, 319, 972, 724, 260 is 587319953220.
2. How to calculate the LCM of 644, 319, 972, 724, 260?
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 644, 319, 972, 724, 260.
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}.