LCM of 533, 906, 567, 318
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 533, 906, 567, 318 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 533, 906, 567, 318. So, keep reading to learn more.
Given numbers are 533,906,567,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 533,906,567,318 is 4837189266.
Find LCM of 533,906,567,318 with Prime Factorization
| 2 | 533, 906, 567, 318 |
| 3 | 533, 453, 567, 159 |
| 533, 151, 189, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 533 x 151 x 189 x 53 = 4837189266
Therefore, the lowest common multiple of 533,906,567,318 is 4837189266.
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.
533 x 906 x 567 x 318 = 87069406788
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.
533 : 1, 13, 41, 533
906 : 1, 2, 3, 6, 151, 302, 453, 906
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
318 : 1, 2, 3, 6, 53, 106, 159, 318
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,906,567,318, is 1.
Now, the common factors can be found like this.
533:13x 41
906:2x 3x 151
567:3x 3x 3x 3x 7
318:2x 3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 87069406788/(1x18)
LCM = 87069406788/18
LCM = 4837189266
Thus, we can understand that the LCM of 533,906,567,318 is 4837189266.
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FAQs on LCM of 533, 906, 567, 318
1. What is the LCM of 533, 906, 567, 318?
Answer: LCM of 533, 906, 567, 318 is 4837189266.
2. How to calculate the LCM of 533, 906, 567, 318?
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 533, 906, 567, 318.
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}.