LCM of 359, 969, 321, 785
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 359, 969, 321, 785 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 359, 969, 321, 785. So, keep reading to learn more.
Given numbers are 359,969,321,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,969,321,785 is 29219424645.
Find LCM of 359,969,321,785 with Prime Factorization
| 3 | 359, 969, 321, 785 |
| 359, 323, 107, 785 |
Multiply the prime numbers at the bottom and the left side.
3 x 359 x 323 x 107 x 785 = 29219424645
Therefore, the lowest common multiple of 359,969,321,785 is 29219424645.
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.
359 x 969 x 321 x 785 = 87658273935
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.
359 : 1, 359
969 : 1, 3, 17, 19, 51, 57, 323, 969
321 : 1, 3, 107, 321
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,969,321,785, is 1.
Now, the common factors can be found like this.
359:359
969:3x 17x 19
321:3x 107
785:5x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 87658273935/(1x3)
LCM = 87658273935/3
LCM = 29219424645
Thus, we can understand that the LCM of 359,969,321,785 is 29219424645.
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FAQs on LCM of 359, 969, 321, 785
1. What is the LCM of 359, 969, 321, 785?
Answer: LCM of 359, 969, 321, 785 is 29219424645.
2. How to calculate the LCM of 359, 969, 321, 785?
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 359, 969, 321, 785.
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}.