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LCM of 764, 265, 163, 769, 546

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


Find the LCM of 764, 265, 163, 769, 546 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 764, 265, 163, 769, 546. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 764,265,163,769,546

Given numbers are 764,265,163,769,546

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

The LCM of 764,265,163,769,546 is 6928126738260.

Find LCM of 764,265,163,769,546 with Prime Factorization


2 764, 265, 163, 769, 546
382, 265, 163, 769, 273

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

2 x 382 x 265 x 163 x 769 x 273 = 6928126738260

Therefore, the lowest common multiple of 764,265,163,769,546 is 6928126738260.

LCM Formula to Find Lowest Common Multiple of 764,265,163,769,546

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.

764 x 265 x 163 x 769 x 546 = 13856253476520

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.

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

265 : 1, 5, 53, 265

163 : 1, 163

769 : 1, 769

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,265,163,769,546, is 1.

Now, the common factors can be found like this.

764:2x 2x 191

265:5x 53

163:163

769:769

546:2x 3x 7x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 13856253476520/(1x2)

LCM = 13856253476520/2

LCM = 6928126738260

Thus, we can understand that the LCM of 764,265,163,769,546 is 6928126738260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 764, 265, 163, 769, 546

1. What is the LCM of 764, 265, 163, 769, 546?

Answer: LCM of 764, 265, 163, 769, 546 is 6928126738260.

2. How to calculate the LCM of 764, 265, 163, 769, 546?

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 764, 265, 163, 769, 546.

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}.