LCM of 471, 345, 552, 785
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 345, 552, 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 471, 345, 552, 785. So, keep reading to learn more.
Given numbers are 471,345,552,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,345,552,785 is 433320.
Find LCM of 471,345,552,785 with Prime Factorization
| 3 | 471, 345, 552, 785 |
| 5 | 157, 115, 184, 785 |
| 23 | 157, 23, 184, 157 |
| 157 | 157, 1, 8, 157 |
| 1, 1, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 23 x 157 x 1 x 1 x 8 x 1 = 433320
Therefore, the lowest common multiple of 471,345,552,785 is 433320.
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.
471 x 345 x 552 x 785 = 70412333400
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.
471 : 1, 3, 157, 471
345 : 1, 3, 5, 15, 23, 69, 115, 345
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,345,552,785, is 1.
Now, the common factors can be found like this.
471:3x 157
345:3x 5x 23
552:2x 2x 2x 3x 23
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.
3x 3x 5x 23x 157 = 162495
Therefore, the value for common factors is 162495.
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 = 70412333400/(1x162495)
LCM = 70412333400/162495
LCM = 433320
Thus, we can understand that the LCM of 471,345,552,785 is 433320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 471, 345, 552, 785
1. What is the LCM of 471, 345, 552, 785?
Answer: LCM of 471, 345, 552, 785 is 433320.
2. How to calculate the LCM of 471, 345, 552, 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 471, 345, 552, 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}.