LCM of 923, 824, 785, 506, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 824, 785, 506, 429 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 923, 824, 785, 506, 429. So, keep reading to learn more.
Given numbers are 923,824,785,506,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,824,785,506,429 is 453148289880.
Find LCM of 923,824,785,506,429 with Prime Factorization
| 2 | 923, 824, 785, 506, 429 |
| 11 | 923, 412, 785, 253, 429 |
| 13 | 923, 412, 785, 23, 39 |
| 71, 412, 785, 23, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 71 x 412 x 785 x 23 x 3 = 453148289880
Therefore, the lowest common multiple of 923,824,785,506,429 is 453148289880.
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.
923 x 824 x 785 x 506 x 429 = 129600410905680
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.
923 : 1, 13, 71, 923
824 : 1, 2, 4, 8, 103, 206, 412, 824
785 : 1, 5, 157, 785
506 : 1, 2, 11, 22, 23, 46, 253, 506
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,824,785,506,429, is 1.
Now, the common factors can be found like this.
923:13x 71
824:2x 2x 2x 103
785:5x 157
506:2x 11x 23
429:3x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 13 = 286
Therefore, the value for common factors is 286.
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 = 129600410905680/(1x286)
LCM = 129600410905680/286
LCM = 453148289880
Thus, we can understand that the LCM of 923,824,785,506,429 is 453148289880.
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FAQs on LCM of 923, 824, 785, 506, 429
1. What is the LCM of 923, 824, 785, 506, 429?
Answer: LCM of 923, 824, 785, 506, 429 is 453148289880.
2. How to calculate the LCM of 923, 824, 785, 506, 429?
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 923, 824, 785, 506, 429.
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}.