LCM of 550, 748, 240, 885, 861
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 550, 748, 240, 885, 861 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 550, 748, 240, 885, 861. So, keep reading to learn more.
Given numbers are 550,748,240,885,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 550,748,240,885,861 is 3799765200.
Find LCM of 550,748,240,885,861 with Prime Factorization
| 2 | 550, 748, 240, 885, 861 |
| 2 | 275, 374, 120, 885, 861 |
| 3 | 275, 187, 60, 885, 861 |
| 5 | 275, 187, 20, 295, 287 |
| 11 | 55, 187, 4, 59, 287 |
| 5, 17, 4, 59, 287 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 5 x 17 x 4 x 59 x 287 = 3799765200
Therefore, the lowest common multiple of 550,748,240,885,861 is 3799765200.
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.
550 x 748 x 240 x 885 x 861 = 75235350960000
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.
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
885 : 1, 3, 5, 15, 59, 177, 295, 885
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 550,748,240,885,861, is 1.
Now, the common factors can be found like this.
550:2x 5x 5x 11
748:2x 2x 11x 17
240:2x 2x 2x 2x 3x 5
885:3x 5x 59
861:3x 7x 41
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 3x 5x 5x 11 = 19800
Therefore, the value for common factors is 19800.
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 = 75235350960000/(1x19800)
LCM = 75235350960000/19800
LCM = 3799765200
Thus, we can understand that the LCM of 550,748,240,885,861 is 3799765200.
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FAQs on LCM of 550, 748, 240, 885, 861
1. What is the LCM of 550, 748, 240, 885, 861?
Answer: LCM of 550, 748, 240, 885, 861 is 3799765200.
2. How to calculate the LCM of 550, 748, 240, 885, 861?
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 550, 748, 240, 885, 861.
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}.