LCM of 926, 325, 416, 785
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 926, 325, 416, 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 926, 325, 416, 785. So, keep reading to learn more.
Given numbers are 926,325,416,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,325,416,785 is 755986400.
Find LCM of 926,325,416,785 with Prime Factorization
| 2 | 926, 325, 416, 785 |
| 5 | 463, 325, 208, 785 |
| 13 | 463, 65, 208, 157 |
| 463, 5, 16, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 463 x 5 x 16 x 157 = 755986400
Therefore, the lowest common multiple of 926,325,416,785 is 755986400.
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.
926 x 325 x 416 x 785 = 98278232000
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.
926 : 1, 2, 463, 926
325 : 1, 5, 13, 25, 65, 325
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,325,416,785, is 1.
Now, the common factors can be found like this.
926:2x 463
325:5x 5x 13
416:2x 2x 2x 2x 2x 13
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.
2x 5x 13 = 130
Therefore, the value for common factors is 130.
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 = 98278232000/(1x130)
LCM = 98278232000/130
LCM = 755986400
Thus, we can understand that the LCM of 926,325,416,785 is 755986400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 926, 325, 416, 785
1. What is the LCM of 926, 325, 416, 785?
Answer: LCM of 926, 325, 416, 785 is 755986400.
2. How to calculate the LCM of 926, 325, 416, 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 926, 325, 416, 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}.