LCM of 766, 105, 570, 973
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 766, 105, 570, 973 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 766, 105, 570, 973. So, keep reading to learn more.
Given numbers are 766,105,570,973
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 766,105,570,973 is 212415630.
Find LCM of 766,105,570,973 with Prime Factorization
| 2 | 766, 105, 570, 973 |
| 3 | 383, 105, 285, 973 |
| 5 | 383, 35, 95, 973 |
| 7 | 383, 7, 19, 973 |
| 383, 1, 19, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 383 x 1 x 19 x 139 = 212415630
Therefore, the lowest common multiple of 766,105,570,973 is 212415630.
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.
766 x 105 x 570 x 973 = 44607282300
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.
766 : 1, 2, 383, 766
105 : 1, 3, 5, 7, 15, 21, 35, 105
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
973 : 1, 7, 139, 973
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,105,570,973, is 1.
Now, the common factors can be found like this.
766:2x 383
105:3x 5x 7
570:2x 3x 5x 19
973:7x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 44607282300/(1x210)
LCM = 44607282300/210
LCM = 212415630
Thus, we can understand that the LCM of 766,105,570,973 is 212415630.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 766, 105, 570, 973
1. What is the LCM of 766, 105, 570, 973?
Answer: LCM of 766, 105, 570, 973 is 212415630.
2. How to calculate the LCM of 766, 105, 570, 973?
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 766, 105, 570, 973.
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}.