LCM of 973, 107, 642, 130
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 973, 107, 642, 130 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 973, 107, 642, 130. So, keep reading to learn more.
Given numbers are 973,107,642,130
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,107,642,130 is 40603290.
Find LCM of 973,107,642,130 with Prime Factorization
| 2 | 973, 107, 642, 130 |
| 107 | 973, 107, 321, 65 |
| 973, 1, 3, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 107 x 973 x 1 x 3 x 65 = 40603290
Therefore, the lowest common multiple of 973,107,642,130 is 40603290.
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.
973 x 107 x 642 x 130 = 8689104060
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.
973 : 1, 7, 139, 973
107 : 1, 107
642 : 1, 2, 3, 6, 107, 214, 321, 642
130 : 1, 2, 5, 10, 13, 26, 65, 130
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,107,642,130, is 1.
Now, the common factors can be found like this.
973:7x 139
107:107
642:2x 3x 107
130:2x 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 107 = 214
Therefore, the value for common factors is 214.
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 = 8689104060/(1x214)
LCM = 8689104060/214
LCM = 40603290
Thus, we can understand that the LCM of 973,107,642,130 is 40603290.
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FAQs on LCM of 973, 107, 642, 130
1. What is the LCM of 973, 107, 642, 130?
Answer: LCM of 973, 107, 642, 130 is 40603290.
2. How to calculate the LCM of 973, 107, 642, 130?
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 973, 107, 642, 130.
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}.