LCM of 699, 780, 498, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 780, 498, 923 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, 780, 498, 923. So, keep reading to learn more.
Given numbers are 699,780,498,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,780,498,923 is 1070993820.
Find LCM of 699,780,498,923 with Prime Factorization
| 2 | 699, 780, 498, 923 |
| 3 | 699, 390, 249, 923 |
| 13 | 233, 130, 83, 923 |
| 233, 10, 83, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 233 x 10 x 83 x 71 = 1070993820
Therefore, the lowest common multiple of 699,780,498,923 is 1070993820.
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 780 x 498 x 923 = 250612553880
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
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
498 : 1, 2, 3, 6, 83, 166, 249, 498
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,780,498,923, is 1.
Now, the common factors can be found like this.
699:3x 233
780:2x 2x 3x 5x 13
498:2x 3x 83
923:13x 71
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 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 250612553880/(1x234)
LCM = 250612553880/234
LCM = 1070993820
Thus, we can understand that the LCM of 699,780,498,923 is 1070993820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 699, 780, 498, 923
1. What is the LCM of 699, 780, 498, 923?
Answer: LCM of 699, 780, 498, 923 is 1070993820.
2. How to calculate the LCM of 699, 780, 498, 923?
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, 780, 498, 923.
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}.