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LCM of 504, 300, 446, 685

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 504, 300, 446, 685 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 504, 300, 446, 685. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 504,300,446,685

Given numbers are 504,300,446,685

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 504,300,446,685 is 384942600.

Find LCM of 504,300,446,685 with Prime Factorization


2 504, 300, 446, 685
2 252, 150, 223, 685
3 126, 75, 223, 685
5 42, 25, 223, 685
42, 5, 223, 137

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 5 x 42 x 5 x 223 x 137 = 384942600

Therefore, the lowest common multiple of 504,300,446,685 is 384942600.

LCM Formula to Find Lowest Common Multiple of 504,300,446,685

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.

504 x 300 x 446 x 685 = 46193112000

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

446 : 1, 2, 223, 446

685 : 1, 5, 137, 685

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,300,446,685, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

300:2x 2x 3x 5x 5

446:2x 223

685:5x 137

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 46193112000/(1x120)

LCM = 46193112000/120

LCM = 384942600

Thus, we can understand that the LCM of 504,300,446,685 is 384942600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 504, 300, 446, 685

1. What is the LCM of 504, 300, 446, 685?

Answer: LCM of 504, 300, 446, 685 is 384942600.

2. How to calculate the LCM of 504, 300, 446, 685?

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 504, 300, 446, 685.

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}.