LCM of 692, 940, 440, 329, 242
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 692, 940, 440, 329, 242 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 692, 940, 440, 329, 242. So, keep reading to learn more.
Given numbers are 692,940,440,329,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,940,440,329,242 is 275478280.
Find LCM of 692,940,440,329,242 with Prime Factorization
| 2 | 692, 940, 440, 329, 242 |
| 2 | 346, 470, 220, 329, 121 |
| 5 | 173, 235, 110, 329, 121 |
| 11 | 173, 47, 22, 329, 121 |
| 47 | 173, 47, 2, 329, 11 |
| 173, 1, 2, 7, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 47 x 173 x 1 x 2 x 7 x 11 = 275478280
Therefore, the lowest common multiple of 692,940,440,329,242 is 275478280.
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.
692 x 940 x 440 x 329 x 242 = 22787563321600
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.
692 : 1, 2, 4, 173, 346, 692
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
329 : 1, 7, 47, 329
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,940,440,329,242, is 1.
Now, the common factors can be found like this.
692:2x 2x 173
940:2x 2x 5x 47
440:2x 2x 2x 5x 11
329:7x 47
242:2x 11x 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 2x 2x 2x 2x 5x 11x 47 = 82720
Therefore, the value for common factors is 82720.
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 = 22787563321600/(1x82720)
LCM = 22787563321600/82720
LCM = 275478280
Thus, we can understand that the LCM of 692,940,440,329,242 is 275478280.
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FAQs on LCM of 692, 940, 440, 329, 242
1. What is the LCM of 692, 940, 440, 329, 242?
Answer: LCM of 692, 940, 440, 329, 242 is 275478280.
2. How to calculate the LCM of 692, 940, 440, 329, 242?
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 692, 940, 440, 329, 242.
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}.