LCM of 279, 785, 793, 829, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 279, 785, 793, 829, 416 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 279, 785, 793, 829, 416. So, keep reading to learn more.
Given numbers are 279,785,793,829,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,785,793,829,416 is 4607353726560.
Find LCM of 279,785,793,829,416 with Prime Factorization
| 13 | 279, 785, 793, 829, 416 |
| 279, 785, 61, 829, 32 |
Multiply the prime numbers at the bottom and the left side.
13 x 279 x 785 x 61 x 829 x 32 = 4607353726560
Therefore, the lowest common multiple of 279,785,793,829,416 is 4607353726560.
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.
279 x 785 x 793 x 829 x 416 = 59895598445280
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.
279 : 1, 3, 9, 31, 93, 279
785 : 1, 5, 157, 785
793 : 1, 13, 61, 793
829 : 1, 829
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,785,793,829,416, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
785:5x 157
793:13x 61
829:829
416:2x 2x 2x 2x 2x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 59895598445280/(1x13)
LCM = 59895598445280/13
LCM = 4607353726560
Thus, we can understand that the LCM of 279,785,793,829,416 is 4607353726560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 279, 785, 793, 829, 416
1. What is the LCM of 279, 785, 793, 829, 416?
Answer: LCM of 279, 785, 793, 829, 416 is 4607353726560.
2. How to calculate the LCM of 279, 785, 793, 829, 416?
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 279, 785, 793, 829, 416.
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}.