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LCM of 469, 154, 764, 668

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


Find the LCM of 469, 154, 764, 668 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 469, 154, 764, 668. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 469,154,764,668

Given numbers are 469,154,764,668

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

The LCM of 469,154,764,668 is 658226492.

Find LCM of 469,154,764,668 with Prime Factorization


2 469, 154, 764, 668
2 469, 77, 382, 334
7 469, 77, 191, 167
67, 11, 191, 167

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

2 x 2 x 7 x 67 x 11 x 191 x 167 = 658226492

Therefore, the lowest common multiple of 469,154,764,668 is 658226492.

LCM Formula to Find Lowest Common Multiple of 469,154,764,668

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.

469 x 154 x 764 x 668 = 36860683552

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.

469 : 1, 7, 67, 469

154 : 1, 2, 7, 11, 14, 22, 77, 154

764 : 1, 2, 4, 191, 382, 764

668 : 1, 2, 4, 167, 334, 668

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,154,764,668, is 1.

Now, the common factors can be found like this.

469:7x 67

154:2x 7x 11

764:2x 2x 191

668:2x 2x 167

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 7 = 56

Therefore, the value for common factors is 56.

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 = 36860683552/(1x56)

LCM = 36860683552/56

LCM = 658226492

Thus, we can understand that the LCM of 469,154,764,668 is 658226492.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 469, 154, 764, 668

1. What is the LCM of 469, 154, 764, 668?

Answer: LCM of 469, 154, 764, 668 is 658226492.

2. How to calculate the LCM of 469, 154, 764, 668?

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 469, 154, 764, 668.

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}.