LCM of 258, 440, 990, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 258, 440, 990, 748 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 258, 440, 990, 748. So, keep reading to learn more.
Given numbers are 258,440,990,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 258,440,990,748 is 2894760.
Find LCM of 258,440,990,748 with Prime Factorization
| 2 | 258, 440, 990, 748 |
| 2 | 129, 220, 495, 374 |
| 3 | 129, 110, 495, 187 |
| 5 | 43, 110, 165, 187 |
| 11 | 43, 22, 33, 187 |
| 43, 2, 3, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 43 x 2 x 3 x 17 = 2894760
Therefore, the lowest common multiple of 258,440,990,748 is 2894760.
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.
258 x 440 x 990 x 748 = 84063830400
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.
258 : 1, 2, 3, 6, 43, 86, 129, 258
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,440,990,748, is 2.
Now, the common factors can be found like this.
258:2x 3x 43
440:2x 2x 2x 5x 11
990:2x 3x 3x 5x 11
748:2x 2x 11x 17
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 3x 5x 11x 11 = 14520
Therefore, the value for common factors is 14520.
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 = 84063830400/(2x14520)
LCM = 84063830400/29040
LCM = 2894760
Thus, we can understand that the LCM of 258,440,990,748 is 2894760.
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FAQs on LCM of 258, 440, 990, 748
1. What is the LCM of 258, 440, 990, 748?
Answer: LCM of 258, 440, 990, 748 is 2894760.
2. How to calculate the LCM of 258, 440, 990, 748?
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 258, 440, 990, 748.
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}.