LCM of 533, 884, 584, 132, 674
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 533, 884, 584, 132, 674 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, 884, 584, 132, 674. So, keep reading to learn more.
Given numbers are 533,884,584,132,674
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 533,884,584,132,674 is 58848150504.
Find LCM of 533,884,584,132,674 with Prime Factorization
| 2 | 533, 884, 584, 132, 674 |
| 2 | 533, 442, 292, 66, 337 |
| 13 | 533, 221, 146, 33, 337 |
| 41, 17, 146, 33, 337 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 41 x 17 x 146 x 33 x 337 = 58848150504
Therefore, the lowest common multiple of 533,884,584,132,674 is 58848150504.
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 884 x 584 x 132 x 674 = 24480830609664
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
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
584 : 1, 2, 4, 8, 73, 146, 292, 584
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
674 : 1, 2, 337, 674
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,884,584,132,674, is 1.
Now, the common factors can be found like this.
533:13x 41
884:2x 2x 13x 17
584:2x 2x 2x 73
132:2x 2x 3x 11
674:2x 337
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 2x 2x 2x 13 = 416
Therefore, the value for common factors is 416.
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 = 24480830609664/(1x416)
LCM = 24480830609664/416
LCM = 58848150504
Thus, we can understand that the LCM of 533,884,584,132,674 is 58848150504.
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FAQs on LCM of 533, 884, 584, 132, 674
1. What is the LCM of 533, 884, 584, 132, 674?
Answer: LCM of 533, 884, 584, 132, 674 is 58848150504.
2. How to calculate the LCM of 533, 884, 584, 132, 674?
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, 884, 584, 132, 674.
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}.