LCM of 669, 294, 576, 336
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 669, 294, 576, 336 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 669, 294, 576, 336. So, keep reading to learn more.
Given numbers are 669,294,576,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,294,576,336 is 6293952.
Find LCM of 669,294,576,336 with Prime Factorization
| 2 | 669, 294, 576, 336 |
| 2 | 669, 147, 288, 168 |
| 2 | 669, 147, 144, 84 |
| 2 | 669, 147, 72, 42 |
| 3 | 669, 147, 36, 21 |
| 7 | 223, 49, 12, 7 |
| 223, 1, 12, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 223 x 1 x 12 x 7 = 6293952
Therefore, the lowest common multiple of 669,294,576,336 is 6293952.
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.
669 x 294 x 576 x 336 = 38065821696
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.
669 : 1, 3, 223, 669
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,294,576,336, is 3.
Now, the common factors can be found like this.
669:3x 223
294:2x 3x 7x 7
576:2x 2x 2x 2x 2x 2x 3x 3
336:2x 2x 2x 2x 3x 7
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 3x 3x 7 = 2016
Therefore, the value for common factors is 2016.
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 = 38065821696/(3x2016)
LCM = 38065821696/6048
LCM = 6293952
Thus, we can understand that the LCM of 669,294,576,336 is 6293952.
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FAQs on LCM of 669, 294, 576, 336
1. What is the LCM of 669, 294, 576, 336?
Answer: LCM of 669, 294, 576, 336 is 6293952.
2. How to calculate the LCM of 669, 294, 576, 336?
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 669, 294, 576, 336.
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}.