LCM of 294, 764, 652, 304, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 294, 764, 652, 304, 264 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 294, 764, 652, 304, 264. So, keep reading to learn more.
Given numbers are 294,764,652,304,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,764,652,304,264 is 15303986544.
Find LCM of 294,764,652,304,264 with Prime Factorization
| 2 | 294, 764, 652, 304, 264 |
| 2 | 147, 382, 326, 152, 132 |
| 2 | 147, 191, 163, 76, 66 |
| 3 | 147, 191, 163, 38, 33 |
| 49, 191, 163, 38, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 49 x 191 x 163 x 38 x 11 = 15303986544
Therefore, the lowest common multiple of 294,764,652,304,264 is 15303986544.
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.
294 x 764 x 652 x 304 x 264 = 11753461665792
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.
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
764 : 1, 2, 4, 191, 382, 764
652 : 1, 2, 4, 163, 326, 652
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,764,652,304,264, is 2.
Now, the common factors can be found like this.
294:2x 3x 7x 7
764:2x 2x 191
652:2x 2x 163
304:2x 2x 2x 2x 19
264:2x 2x 2x 3x 11
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 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 11753461665792/(2x384)
LCM = 11753461665792/768
LCM = 15303986544
Thus, we can understand that the LCM of 294,764,652,304,264 is 15303986544.
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FAQs on LCM of 294, 764, 652, 304, 264
1. What is the LCM of 294, 764, 652, 304, 264?
Answer: LCM of 294, 764, 652, 304, 264 is 15303986544.
2. How to calculate the LCM of 294, 764, 652, 304, 264?
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 294, 764, 652, 304, 264.
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}.