LCM of 695, 326, 588, 384
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 695, 326, 588, 384 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 695, 326, 588, 384. So, keep reading to learn more.
Given numbers are 695,326,588,384
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 695,326,588,384 is 2131570560.
Find LCM of 695,326,588,384 with Prime Factorization
| 2 | 695, 326, 588, 384 |
| 2 | 695, 163, 294, 192 |
| 3 | 695, 163, 147, 96 |
| 695, 163, 49, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 695 x 163 x 49 x 32 = 2131570560
Therefore, the lowest common multiple of 695,326,588,384 is 2131570560.
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.
695 x 326 x 588 x 384 = 51157693440
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.
695 : 1, 5, 139, 695
326 : 1, 2, 163, 326
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,326,588,384, is 1.
Now, the common factors can be found like this.
695:5x 139
326:2x 163
588:2x 2x 3x 7x 7
384:2x 2x 2x 2x 2x 2x 2x 3
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 3 = 24
Therefore, the value for common factors is 24.
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 = 51157693440/(1x24)
LCM = 51157693440/24
LCM = 2131570560
Thus, we can understand that the LCM of 695,326,588,384 is 2131570560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 695, 326, 588, 384
1. What is the LCM of 695, 326, 588, 384?
Answer: LCM of 695, 326, 588, 384 is 2131570560.
2. How to calculate the LCM of 695, 326, 588, 384?
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 695, 326, 588, 384.
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}.