Find the LCM of 961, 754, 319, 29 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, 754, 319, 29. So, keep reading to learn more.
Given numbers are 961,754,319,29
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 961,754,319,29 is 7970534.
Find LCM of 961,754,319,29 with Prime Factorization
29 | 961, 754, 319, 29 |
961, 26, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
29 x 961 x 26 x 11 x 1 = 7970534
Therefore, the lowest common multiple of 961,754,319,29 is 7970534.
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 754 x 319 x 29 = 6703219094
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
754 : 1, 2, 13, 26, 29, 58, 377, 754
319 : 1, 11, 29, 319
29 : 1, 29
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,754,319,29, is 1.
Now, the common factors can be found like this.
961:31x 31
754:2x 13x 29
319:11x 29
29:29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29x 29 = 841
Therefore, the value for common factors is 841.
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 = 6703219094/(1x841)
LCM = 6703219094/841
LCM = 7970534
Thus, we can understand that the LCM of 961,754,319,29 is 7970534.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 961, 754, 319, 29?
Answer: LCM of 961, 754, 319, 29 is 7970534.
2. How to calculate the LCM of 961, 754, 319, 29?
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, 754, 319, 29.
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}.