LCM of 227, 520, 870, 689, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 227, 520, 870, 689, 780 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 227, 520, 870, 689, 780. So, keep reading to learn more.
Given numbers are 227,520,870,689,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,520,870,689,780 is 544282440.
Find LCM of 227,520,870,689,780 with Prime Factorization
| 2 | 227, 520, 870, 689, 780 |
| 2 | 227, 260, 435, 689, 390 |
| 3 | 227, 130, 435, 689, 195 |
| 5 | 227, 130, 145, 689, 65 |
| 13 | 227, 26, 29, 689, 13 |
| 227, 2, 29, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 227 x 2 x 29 x 53 x 1 = 544282440
Therefore, the lowest common multiple of 227,520,870,689,780 is 544282440.
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.
227 x 520 x 870 x 689 x 780 = 55190239416000
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.
227 : 1, 227
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
689 : 1, 13, 53, 689
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,520,870,689,780, is 1.
Now, the common factors can be found like this.
227:227
520:2x 2x 2x 5x 13
870:2x 3x 5x 29
689:13x 53
780:2x 2x 3x 5x 13
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 5x 13x 13 = 101400
Therefore, the value for common factors is 101400.
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 = 55190239416000/(1x101400)
LCM = 55190239416000/101400
LCM = 544282440
Thus, we can understand that the LCM of 227,520,870,689,780 is 544282440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 227, 520, 870, 689, 780
1. What is the LCM of 227, 520, 870, 689, 780?
Answer: LCM of 227, 520, 870, 689, 780 is 544282440.
2. How to calculate the LCM of 227, 520, 870, 689, 780?
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 227, 520, 870, 689, 780.
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}.