LCM of 442, 715, 969, 653
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 715, 969, 653 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 442, 715, 969, 653. So, keep reading to learn more.
Given numbers are 442,715,969,653
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,715,969,653 is 904842510.
Find LCM of 442,715,969,653 with Prime Factorization
| 13 | 442, 715, 969, 653 |
| 17 | 34, 55, 969, 653 |
| 2, 55, 57, 653 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 2 x 55 x 57 x 653 = 904842510
Therefore, the lowest common multiple of 442,715,969,653 is 904842510.
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.
442 x 715 x 969 x 653 = 199970194710
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
715 : 1, 5, 11, 13, 55, 65, 143, 715
969 : 1, 3, 17, 19, 51, 57, 323, 969
653 : 1, 653
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,715,969,653, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
715:5x 11x 13
969:3x 17x 19
653:653
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17 = 221
Therefore, the value for common factors is 221.
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 = 199970194710/(1x221)
LCM = 199970194710/221
LCM = 904842510
Thus, we can understand that the LCM of 442,715,969,653 is 904842510.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 442, 715, 969, 653
1. What is the LCM of 442, 715, 969, 653?
Answer: LCM of 442, 715, 969, 653 is 904842510.
2. How to calculate the LCM of 442, 715, 969, 653?
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 442, 715, 969, 653.
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}.