LCM of 462, 606, 707, 976
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 606, 707, 976 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 462, 606, 707, 976. So, keep reading to learn more.
Given numbers are 462,606,707,976
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,606,707,976 is 22771056.
Find LCM of 462,606,707,976 with Prime Factorization
| 2 | 462, 606, 707, 976 |
| 3 | 231, 303, 707, 488 |
| 7 | 77, 101, 707, 488 |
| 101 | 11, 101, 101, 488 |
| 11, 1, 1, 488 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 101 x 11 x 1 x 1 x 488 = 22771056
Therefore, the lowest common multiple of 462,606,707,976 is 22771056.
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.
462 x 606 x 707 x 976 = 193189639104
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
606 : 1, 2, 3, 6, 101, 202, 303, 606
707 : 1, 7, 101, 707
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,606,707,976, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
606:2x 3x 101
707:7x 101
976:2x 2x 2x 2x 61
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 3x 7x 101 = 8484
Therefore, the value for common factors is 8484.
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 = 193189639104/(1x8484)
LCM = 193189639104/8484
LCM = 22771056
Thus, we can understand that the LCM of 462,606,707,976 is 22771056.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 462, 606, 707, 976
1. What is the LCM of 462, 606, 707, 976?
Answer: LCM of 462, 606, 707, 976 is 22771056.
2. How to calculate the LCM of 462, 606, 707, 976?
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 462, 606, 707, 976.
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}.