LCM of 304, 368, 736, 980
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 304, 368, 736, 980 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 304, 368, 736, 980. So, keep reading to learn more.
Given numbers are 304,368,736,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,368,736,980 is 3426080.
Find LCM of 304,368,736,980 with Prime Factorization
| 2 | 304, 368, 736, 980 |
| 2 | 152, 184, 368, 490 |
| 2 | 76, 92, 184, 245 |
| 2 | 38, 46, 92, 245 |
| 23 | 19, 23, 46, 245 |
| 19, 1, 2, 245 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 23 x 19 x 1 x 2 x 245 = 3426080
Therefore, the lowest common multiple of 304,368,736,980 is 3426080.
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.
304 x 368 x 736 x 980 = 80691036160
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,368,736,980, is 4.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
368:2x 2x 2x 2x 23
736:2x 2x 2x 2x 2x 23
980:2x 2x 5x 7x 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 2x 2x 2x 23 = 5888
Therefore, the value for common factors is 5888.
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 = 80691036160/(4x5888)
LCM = 80691036160/23552
LCM = 3426080
Thus, we can understand that the LCM of 304,368,736,980 is 3426080.
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FAQs on LCM of 304, 368, 736, 980
1. What is the LCM of 304, 368, 736, 980?
Answer: LCM of 304, 368, 736, 980 is 3426080.
2. How to calculate the LCM of 304, 368, 736, 980?
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 304, 368, 736, 980.
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}.