LCM of 961, 403, 606, 478, 722
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 961, 403, 606, 478, 722 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 961, 403, 606, 478, 722. So, keep reading to learn more.
Given numbers are 961,403,606,478,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 961,403,606,478,722 is 653197429482.
Find LCM of 961,403,606,478,722 with Prime Factorization
| 2 | 961, 403, 606, 478, 722 |
| 31 | 961, 403, 303, 239, 361 |
| 31, 13, 303, 239, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 31 x 13 x 303 x 239 x 361 = 653197429482
Therefore, the lowest common multiple of 961,403,606,478,722 is 653197429482.
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.
961 x 403 x 606 x 478 x 722 = 80996481255768
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.
961 : 1, 31, 961
403 : 1, 13, 31, 403
606 : 1, 2, 3, 6, 101, 202, 303, 606
478 : 1, 2, 239, 478
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,403,606,478,722, is 1.
Now, the common factors can be found like this.
961:31x 31
403:13x 31
606:2x 3x 101
478:2x 239
722:2x 19x 19
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 31 = 124
Therefore, the value for common factors is 124.
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 = 80996481255768/(1x124)
LCM = 80996481255768/124
LCM = 653197429482
Thus, we can understand that the LCM of 961,403,606,478,722 is 653197429482.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 961, 403, 606, 478, 722
1. What is the LCM of 961, 403, 606, 478, 722?
Answer: LCM of 961, 403, 606, 478, 722 is 653197429482.
2. How to calculate the LCM of 961, 403, 606, 478, 722?
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 961, 403, 606, 478, 722.
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}.