LCM of 533, 429, 253, 403, 786
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 533, 429, 253, 403, 786 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, 429, 253, 403, 786. So, keep reading to learn more.
Given numbers are 533,429,253,403,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 533,429,253,403,786 is 3285730734.
Find LCM of 533,429,253,403,786 with Prime Factorization
| 3 | 533, 429, 253, 403, 786 |
| 11 | 533, 143, 253, 403, 262 |
| 13 | 533, 13, 23, 403, 262 |
| 41, 1, 23, 31, 262 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 41 x 1 x 23 x 31 x 262 = 3285730734
Therefore, the lowest common multiple of 533,429,253,403,786 is 3285730734.
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 429 x 253 x 403 x 786 = 18324520303518
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
429 : 1, 3, 11, 13, 33, 39, 143, 429
253 : 1, 11, 23, 253
403 : 1, 13, 31, 403
786 : 1, 2, 3, 6, 131, 262, 393, 786
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,429,253,403,786, is 1.
Now, the common factors can be found like this.
533:13x 41
429:3x 11x 13
253:11x 23
403:13x 31
786:2x 3x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 13x 13 = 5577
Therefore, the value for common factors is 5577.
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 = 18324520303518/(1x5577)
LCM = 18324520303518/5577
LCM = 3285730734
Thus, we can understand that the LCM of 533,429,253,403,786 is 3285730734.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 533, 429, 253, 403, 786
1. What is the LCM of 533, 429, 253, 403, 786?
Answer: LCM of 533, 429, 253, 403, 786 is 3285730734.
2. How to calculate the LCM of 533, 429, 253, 403, 786?
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, 429, 253, 403, 786.
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}.