LCM of 336, 767, 814, 818, 532
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 336, 767, 814, 818, 532 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 336, 767, 814, 818, 532. So, keep reading to learn more.
Given numbers are 336,767,814,818,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,767,814,818,532 is 815090740464.
Find LCM of 336,767,814,818,532 with Prime Factorization
| 2 | 336, 767, 814, 818, 532 |
| 2 | 168, 767, 407, 409, 266 |
| 7 | 84, 767, 407, 409, 133 |
| 12, 767, 407, 409, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 12 x 767 x 407 x 409 x 19 = 815090740464
Therefore, the lowest common multiple of 336,767,814,818,532 is 815090740464.
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.
336 x 767 x 814 x 818 x 532 = 91290162931968
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.
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
767 : 1, 13, 59, 767
814 : 1, 2, 11, 22, 37, 74, 407, 814
818 : 1, 2, 409, 818
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,767,814,818,532, is 1.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
767:13x 59
814:2x 11x 37
818:2x 409
532:2x 2x 7x 19
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 7 = 112
Therefore, the value for common factors is 112.
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 = 91290162931968/(1x112)
LCM = 91290162931968/112
LCM = 815090740464
Thus, we can understand that the LCM of 336,767,814,818,532 is 815090740464.
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FAQs on LCM of 336, 767, 814, 818, 532
1. What is the LCM of 336, 767, 814, 818, 532?
Answer: LCM of 336, 767, 814, 818, 532 is 815090740464.
2. How to calculate the LCM of 336, 767, 814, 818, 532?
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 336, 767, 814, 818, 532.
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}.