LCM of 704, 375, 125, 694, 436
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 375, 125, 694, 436 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 704, 375, 125, 694, 436. So, keep reading to learn more.
Given numbers are 704,375,125,694,436
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,375,125,694,436 is 9985272000.
Find LCM of 704,375,125,694,436 with Prime Factorization
| 2 | 704, 375, 125, 694, 436 |
| 2 | 352, 375, 125, 347, 218 |
| 5 | 176, 375, 125, 347, 109 |
| 5 | 176, 75, 25, 347, 109 |
| 5 | 176, 15, 5, 347, 109 |
| 176, 3, 1, 347, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 5 x 176 x 3 x 1 x 347 x 109 = 9985272000
Therefore, the lowest common multiple of 704,375,125,694,436 is 9985272000.
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.
704 x 375 x 125 x 694 x 436 = 9985272000000
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
375 : 1, 3, 5, 15, 25, 75, 125, 375
125 : 1, 5, 25, 125
694 : 1, 2, 347, 694
436 : 1, 2, 4, 109, 218, 436
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,375,125,694,436, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
375:3x 5x 5x 5
125:5x 5x 5
694:2x 347
436:2x 2x 109
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 5x 5x 5 = 1000
Therefore, the value for common factors is 1000.
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 = 9985272000000/(1x1000)
LCM = 9985272000000/1000
LCM = 9985272000
Thus, we can understand that the LCM of 704,375,125,694,436 is 9985272000.
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FAQs on LCM of 704, 375, 125, 694, 436
1. What is the LCM of 704, 375, 125, 694, 436?
Answer: LCM of 704, 375, 125, 694, 436 is 9985272000.
2. How to calculate the LCM of 704, 375, 125, 694, 436?
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 704, 375, 125, 694, 436.
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}.