LCM of 473, 782, 724, 973, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 473, 782, 724, 973, 966 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 473, 782, 724, 973, 966. So, keep reading to learn more.
Given numbers are 473,782,724,973,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,782,724,973,966 is 390850398708.
Find LCM of 473,782,724,973,966 with Prime Factorization
| 2 | 473, 782, 724, 973, 966 |
| 7 | 473, 391, 362, 973, 483 |
| 23 | 473, 391, 362, 139, 69 |
| 473, 17, 362, 139, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 473 x 17 x 362 x 139 x 3 = 390850398708
Therefore, the lowest common multiple of 473,782,724,973,966 is 390850398708.
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.
473 x 782 x 724 x 973 x 966 = 251707656767952
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.
473 : 1, 11, 43, 473
782 : 1, 2, 17, 23, 34, 46, 391, 782
724 : 1, 2, 4, 181, 362, 724
973 : 1, 7, 139, 973
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,782,724,973,966, is 1.
Now, the common factors can be found like this.
473:11x 43
782:2x 17x 23
724:2x 2x 181
973:7x 139
966:2x 3x 7x 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 7x 23 = 644
Therefore, the value for common factors is 644.
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 = 251707656767952/(1x644)
LCM = 251707656767952/644
LCM = 390850398708
Thus, we can understand that the LCM of 473,782,724,973,966 is 390850398708.
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FAQs on LCM of 473, 782, 724, 973, 966
1. What is the LCM of 473, 782, 724, 973, 966?
Answer: LCM of 473, 782, 724, 973, 966 is 390850398708.
2. How to calculate the LCM of 473, 782, 724, 973, 966?
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 473, 782, 724, 973, 966.
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}.