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LCM of 784, 560, 166

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


Find the LCM of 784, 560, 166 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 784, 560, 166. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 784,560,166

Given numbers are 784,560,166

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

The LCM of 784,560,166 is 325360.

Find LCM of 784,560,166 with Prime Factorization


2 784, 560, 166
2 392, 280, 83
2 196, 140, 83
2 98, 70, 83
7 49, 35, 83
7, 5, 83

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

2 x 2 x 2 x 2 x 7 x 7 x 5 x 83 = 325360

Therefore, the lowest common multiple of 784,560,166 is 325360.

LCM Formula to Find Lowest Common Multiple of 784,560,166

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.

784 x 560 x 166 = 72880640

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.

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

166 : 1, 2, 83, 166

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,560,166, is 2.

Now, the common factors can be found like this.

784:2x 2x 2x 2x 7x 7

560:2x 2x 2x 2x 5x 7

166:2x 83

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 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 72880640/(2x112)

LCM = 72880640/224

LCM = 325360

Thus, we can understand that the LCM of 784,560,166 is 325360.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 784, 560, 166

1. What is the LCM of 784, 560, 166?

Answer: LCM of 784, 560, 166 is 325360.

2. How to calculate the LCM of 784, 560, 166?

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 784, 560, 166.

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}.