LCM of 562, 918, 759, 982
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 562, 918, 759, 982 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 562, 918, 759, 982. So, keep reading to learn more.
Given numbers are 562,918,759,982
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 562,918,759,982 is 32044316634.
Find LCM of 562,918,759,982 with Prime Factorization
| 2 | 562, 918, 759, 982 |
| 3 | 281, 459, 759, 491 |
| 281, 153, 253, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 281 x 153 x 253 x 491 = 32044316634
Therefore, the lowest common multiple of 562,918,759,982 is 32044316634.
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.
562 x 918 x 759 x 982 = 384531799608
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.
562 : 1, 2, 281, 562
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
759 : 1, 3, 11, 23, 33, 69, 253, 759
982 : 1, 2, 491, 982
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,918,759,982, is 1.
Now, the common factors can be found like this.
562:2x 281
918:2x 3x 3x 3x 17
759:3x 11x 23
982:2x 491
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 3 = 12
Therefore, the value for common factors is 12.
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 = 384531799608/(1x12)
LCM = 384531799608/12
LCM = 32044316634
Thus, we can understand that the LCM of 562,918,759,982 is 32044316634.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 562, 918, 759, 982
1. What is the LCM of 562, 918, 759, 982?
Answer: LCM of 562, 918, 759, 982 is 32044316634.
2. How to calculate the LCM of 562, 918, 759, 982?
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 562, 918, 759, 982.
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}.