LCM of 693, 735, 766, 454
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 693, 735, 766, 454 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, 735, 766, 454. So, keep reading to learn more.
Given numbers are 693,735,766,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 693,735,766,454 is 4217507910.
Find LCM of 693,735,766,454 with Prime Factorization
| 2 | 693, 735, 766, 454 |
| 3 | 693, 735, 383, 227 |
| 7 | 231, 245, 383, 227 |
| 33, 35, 383, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 33 x 35 x 383 x 227 = 4217507910
Therefore, the lowest common multiple of 693,735,766,454 is 4217507910.
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 735 x 766 x 454 = 177135332220
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
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
766 : 1, 2, 383, 766
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,735,766,454, is 1.
Now, the common factors can be found like this.
693:3x 3x 7x 11
735:3x 5x 7x 7
766:2x 383
454:2x 227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7 = 42
Therefore, the value for common factors is 42.
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 = 177135332220/(1x42)
LCM = 177135332220/42
LCM = 4217507910
Thus, we can understand that the LCM of 693,735,766,454 is 4217507910.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 693, 735, 766, 454
1. What is the LCM of 693, 735, 766, 454?
Answer: LCM of 693, 735, 766, 454 is 4217507910.
2. How to calculate the LCM of 693, 735, 766, 454?
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, 735, 766, 454.
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}.