LCM of 676, 384, 224, 693, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 384, 224, 693, 762 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 676, 384, 224, 693, 762. So, keep reading to learn more.
Given numbers are 676,384,224,693,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,384,224,693,762 is 1903853952.
Find LCM of 676,384,224,693,762 with Prime Factorization
| 2 | 676, 384, 224, 693, 762 |
| 2 | 338, 192, 112, 693, 381 |
| 2 | 169, 96, 56, 693, 381 |
| 2 | 169, 48, 28, 693, 381 |
| 2 | 169, 24, 14, 693, 381 |
| 3 | 169, 12, 7, 693, 381 |
| 7 | 169, 4, 7, 231, 127 |
| 169, 4, 1, 33, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 7 x 169 x 4 x 1 x 33 x 127 = 1903853952
Therefore, the lowest common multiple of 676,384,224,693,762 is 1903853952.
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.
676 x 384 x 224 x 693 x 762 = 30705356537856
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,384,224,693,762, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
384:2x 2x 2x 2x 2x 2x 2x 3
224:2x 2x 2x 2x 2x 7
693:3x 3x 7x 11
762:2x 3x 127
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 2x 2x 2x 3x 3x 7 = 16128
Therefore, the value for common factors is 16128.
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 = 30705356537856/(1x16128)
LCM = 30705356537856/16128
LCM = 1903853952
Thus, we can understand that the LCM of 676,384,224,693,762 is 1903853952.
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FAQs on LCM of 676, 384, 224, 693, 762
1. What is the LCM of 676, 384, 224, 693, 762?
Answer: LCM of 676, 384, 224, 693, 762 is 1903853952.
2. How to calculate the LCM of 676, 384, 224, 693, 762?
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 676, 384, 224, 693, 762.
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}.