LCM of 693, 248, 423, 747, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 693, 248, 423, 747, 693 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 693, 248, 423, 747, 693. So, keep reading to learn more.
Given numbers are 693,248,423,747,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 693,248,423,747,693 is 670441464.
Find LCM of 693,248,423,747,693 with Prime Factorization
| 3 | 693, 248, 423, 747, 693 |
| 3 | 231, 248, 141, 249, 231 |
| 7 | 77, 248, 47, 83, 77 |
| 11 | 11, 248, 47, 83, 11 |
| 1, 248, 47, 83, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 11 x 1 x 248 x 47 x 83 x 1 = 670441464
Therefore, the lowest common multiple of 693,248,423,747,693 is 670441464.
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.
693 x 248 x 423 x 747 x 693 = 37633890698712
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.
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
248 : 1, 2, 4, 8, 31, 62, 124, 248
423 : 1, 3, 9, 47, 141, 423
747 : 1, 3, 9, 83, 249, 747
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,248,423,747,693, is 1.
Now, the common factors can be found like this.
693:3x 3x 7x 11
248:2x 2x 2x 31
423:3x 3x 47
747:3x 3x 83
693:3x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 3x 7x 11 = 56133
Therefore, the value for common factors is 56133.
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 = 37633890698712/(1x56133)
LCM = 37633890698712/56133
LCM = 670441464
Thus, we can understand that the LCM of 693,248,423,747,693 is 670441464.
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FAQs on LCM of 693, 248, 423, 747, 693
1. What is the LCM of 693, 248, 423, 747, 693?
Answer: LCM of 693, 248, 423, 747, 693 is 670441464.
2. How to calculate the LCM of 693, 248, 423, 747, 693?
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 693, 248, 423, 747, 693.
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}.