LCM of 269, 545, 764, 294, 573
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 545, 764, 294, 573 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 269, 545, 764, 294, 573. So, keep reading to learn more.
Given numbers are 269,545,764,294,573
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,545,764,294,573 is 16464914340.
Find LCM of 269,545,764,294,573 with Prime Factorization
| 2 | 269, 545, 764, 294, 573 |
| 3 | 269, 545, 382, 147, 573 |
| 191 | 269, 545, 382, 49, 191 |
| 269, 545, 2, 49, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 191 x 269 x 545 x 2 x 49 x 1 = 16464914340
Therefore, the lowest common multiple of 269,545,764,294,573 is 16464914340.
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.
269 x 545 x 764 x 294 x 573 = 18868791833640
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.
269 : 1, 269
545 : 1, 5, 109, 545
764 : 1, 2, 4, 191, 382, 764
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
573 : 1, 3, 191, 573
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,545,764,294,573, is 1.
Now, the common factors can be found like this.
269:269
545:5x 109
764:2x 2x 191
294:2x 3x 7x 7
573:3x 191
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 191 = 1146
Therefore, the value for common factors is 1146.
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 = 18868791833640/(1x1146)
LCM = 18868791833640/1146
LCM = 16464914340
Thus, we can understand that the LCM of 269,545,764,294,573 is 16464914340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 269, 545, 764, 294, 573
1. What is the LCM of 269, 545, 764, 294, 573?
Answer: LCM of 269, 545, 764, 294, 573 is 16464914340.
2. How to calculate the LCM of 269, 545, 764, 294, 573?
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 269, 545, 764, 294, 573.
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}.