LCM of 532, 463, 133, 862, 302
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 532, 463, 133, 862, 302 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 532, 463, 133, 862, 302. So, keep reading to learn more.
Given numbers are 532,463,133,862,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,463,133,862,302 is 16030491596.
Find LCM of 532,463,133,862,302 with Prime Factorization
| 2 | 532, 463, 133, 862, 302 |
| 7 | 266, 463, 133, 431, 151 |
| 19 | 38, 463, 19, 431, 151 |
| 2, 463, 1, 431, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 2 x 463 x 1 x 431 x 151 = 16030491596
Therefore, the lowest common multiple of 532,463,133,862,302 is 16030491596.
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.
532 x 463 x 133 x 862 x 302 = 8528221529072
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
463 : 1, 463
133 : 1, 7, 19, 133
862 : 1, 2, 431, 862
302 : 1, 2, 151, 302
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,463,133,862,302, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
463:463
133:7x 19
862:2x 431
302:2x 151
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 7x 19 = 532
Therefore, the value for common factors is 532.
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 = 8528221529072/(1x532)
LCM = 8528221529072/532
LCM = 16030491596
Thus, we can understand that the LCM of 532,463,133,862,302 is 16030491596.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 532, 463, 133, 862, 302
1. What is the LCM of 532, 463, 133, 862, 302?
Answer: LCM of 532, 463, 133, 862, 302 is 16030491596.
2. How to calculate the LCM of 532, 463, 133, 862, 302?
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 532, 463, 133, 862, 302.
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}.