LCM of 534, 647, 801, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 534, 647, 801, 969 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 534, 647, 801, 969. So, keep reading to learn more.
Given numbers are 534,647,801,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 534,647,801,969 is 334787562.
Find LCM of 534,647,801,969 with Prime Factorization
| 3 | 534, 647, 801, 969 |
| 89 | 178, 647, 267, 323 |
| 2, 647, 3, 323 |
Multiply the prime numbers at the bottom and the left side.
3 x 89 x 2 x 647 x 3 x 323 = 334787562
Therefore, the lowest common multiple of 534,647,801,969 is 334787562.
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.
534 x 647 x 801 x 969 = 268164837162
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.
534 : 1, 2, 3, 6, 89, 178, 267, 534
647 : 1, 647
801 : 1, 3, 9, 89, 267, 801
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,647,801,969, is 1.
Now, the common factors can be found like this.
534:2x 3x 89
647:647
801:3x 3x 89
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 89 = 801
Therefore, the value for common factors is 801.
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 = 268164837162/(1x801)
LCM = 268164837162/801
LCM = 334787562
Thus, we can understand that the LCM of 534,647,801,969 is 334787562.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 534, 647, 801, 969
1. What is the LCM of 534, 647, 801, 969?
Answer: LCM of 534, 647, 801, 969 is 334787562.
2. How to calculate the LCM of 534, 647, 801, 969?
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 534, 647, 801, 969.
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}.