LCM of 699, 946, 519, 240, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 946, 519, 240, 594 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 699, 946, 519, 240, 594. So, keep reading to learn more.
Given numbers are 699,946,519,240,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,946,519,240,594 is 41182899120.
Find LCM of 699,946,519,240,594 with Prime Factorization
| 2 | 699, 946, 519, 240, 594 |
| 3 | 699, 473, 519, 120, 297 |
| 11 | 233, 473, 173, 40, 99 |
| 233, 43, 173, 40, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 233 x 43 x 173 x 40 x 9 = 41182899120
Therefore, the lowest common multiple of 699,946,519,240,594 is 41182899120.
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.
699 x 946 x 519 x 240 x 594 = 48925284154560
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.
699 : 1, 3, 233, 699
946 : 1, 2, 11, 22, 43, 86, 473, 946
519 : 1, 3, 173, 519
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,946,519,240,594, is 1.
Now, the common factors can be found like this.
699:3x 233
946:2x 11x 43
519:3x 173
240:2x 2x 2x 2x 3x 5
594:2x 3x 3x 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 2x 3x 3x 3x 11 = 1188
Therefore, the value for common factors is 1188.
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 = 48925284154560/(1x1188)
LCM = 48925284154560/1188
LCM = 41182899120
Thus, we can understand that the LCM of 699,946,519,240,594 is 41182899120.
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FAQs on LCM of 699, 946, 519, 240, 594
1. What is the LCM of 699, 946, 519, 240, 594?
Answer: LCM of 699, 946, 519, 240, 594 is 41182899120.
2. How to calculate the LCM of 699, 946, 519, 240, 594?
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 699, 946, 519, 240, 594.
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}.