LCM of 518, 736, 509, 442, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 518, 736, 509, 442, 294 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 518, 736, 509, 442, 294. So, keep reading to learn more.
Given numbers are 518,736,509,442,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 518,736,509,442,294 is 450305165856.
Find LCM of 518,736,509,442,294 with Prime Factorization
| 2 | 518, 736, 509, 442, 294 |
| 7 | 259, 368, 509, 221, 147 |
| 37, 368, 509, 221, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 37 x 368 x 509 x 221 x 21 = 450305165856
Therefore, the lowest common multiple of 518,736,509,442,294 is 450305165856.
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.
518 x 736 x 509 x 442 x 294 = 25217089287936
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.
518 : 1, 2, 7, 14, 37, 74, 259, 518
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
509 : 1, 509
442 : 1, 2, 13, 17, 26, 34, 221, 442
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,736,509,442,294, is 1.
Now, the common factors can be found like this.
518:2x 7x 37
736:2x 2x 2x 2x 2x 23
509:509
442:2x 13x 17
294:2x 3x 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 7 = 56
Therefore, the value for common factors is 56.
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 = 25217089287936/(1x56)
LCM = 25217089287936/56
LCM = 450305165856
Thus, we can understand that the LCM of 518,736,509,442,294 is 450305165856.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 518, 736, 509, 442, 294
1. What is the LCM of 518, 736, 509, 442, 294?
Answer: LCM of 518, 736, 509, 442, 294 is 450305165856.
2. How to calculate the LCM of 518, 736, 509, 442, 294?
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 518, 736, 509, 442, 294.
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}.