LCM of 693, 605, 578, 132
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 693, 605, 578, 132 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, 605, 578, 132. So, keep reading to learn more.
Given numbers are 693,605,578,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 693,605,578,132 is 44060940.
Find LCM of 693,605,578,132 with Prime Factorization
| 2 | 693, 605, 578, 132 |
| 3 | 693, 605, 289, 66 |
| 11 | 231, 605, 289, 22 |
| 21, 55, 289, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 21 x 55 x 289 x 2 = 44060940
Therefore, the lowest common multiple of 693,605,578,132 is 44060940.
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 605 x 578 x 132 = 31988242440
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
605 : 1, 5, 11, 55, 121, 605
578 : 1, 2, 17, 34, 289, 578
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,605,578,132, is 1.
Now, the common factors can be found like this.
693:3x 3x 7x 11
605:5x 11x 11
578:2x 17x 17
132:2x 2x 3x 11
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 11x 11 = 726
Therefore, the value for common factors is 726.
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 = 31988242440/(1x726)
LCM = 31988242440/726
LCM = 44060940
Thus, we can understand that the LCM of 693,605,578,132 is 44060940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 693, 605, 578, 132
1. What is the LCM of 693, 605, 578, 132?
Answer: LCM of 693, 605, 578, 132 is 44060940.
2. How to calculate the LCM of 693, 605, 578, 132?
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, 605, 578, 132.
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}.