LCM of 515, 490, 920, 276
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 490, 920, 276 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 515, 490, 920, 276. So, keep reading to learn more.
Given numbers are 515,490,920,276
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,490,920,276 is 13929720.
Find LCM of 515,490,920,276 with Prime Factorization
| 2 | 515, 490, 920, 276 |
| 2 | 515, 245, 460, 138 |
| 5 | 515, 245, 230, 69 |
| 23 | 103, 49, 46, 69 |
| 103, 49, 2, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 103 x 49 x 2 x 3 = 13929720
Therefore, the lowest common multiple of 515,490,920,276 is 13929720.
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.
515 x 490 x 920 x 276 = 64076712000
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.
515 : 1, 5, 103, 515
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,490,920,276, is 1.
Now, the common factors can be found like this.
515:5x 103
490:2x 5x 7x 7
920:2x 2x 2x 5x 23
276:2x 2x 3x 23
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 5x 5x 23 = 4600
Therefore, the value for common factors is 4600.
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 = 64076712000/(1x4600)
LCM = 64076712000/4600
LCM = 13929720
Thus, we can understand that the LCM of 515,490,920,276 is 13929720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 515, 490, 920, 276
1. What is the LCM of 515, 490, 920, 276?
Answer: LCM of 515, 490, 920, 276 is 13929720.
2. How to calculate the LCM of 515, 490, 920, 276?
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 515, 490, 920, 276.
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}.