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LCM of 468, 769, 769, 549

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


Find the LCM of 468, 769, 769, 549 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 468, 769, 769, 549. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 468,769,769,549

Given numbers are 468,769,769,549

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

The LCM of 468,769,769,549 is 21953412.

Find LCM of 468,769,769,549 with Prime Factorization


3 468, 769, 769, 549
3 156, 769, 769, 183
769 52, 769, 769, 61
52, 1, 1, 61

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

3 x 3 x 769 x 52 x 1 x 1 x 61 = 21953412

Therefore, the lowest common multiple of 468,769,769,549 is 21953412.

LCM Formula to Find Lowest Common Multiple of 468,769,769,549

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.

468 x 769 x 769 x 549 = 151939564452

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

769 : 1, 769

769 : 1, 769

549 : 1, 3, 9, 61, 183, 549

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,769,769,549, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

769:769

769:769

549:3x 3x 61

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 769 = 6921

Therefore, the value for common factors is 6921.

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 = 151939564452/(1x6921)

LCM = 151939564452/6921

LCM = 21953412

Thus, we can understand that the LCM of 468,769,769,549 is 21953412.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 468, 769, 769, 549

1. What is the LCM of 468, 769, 769, 549?

Answer: LCM of 468, 769, 769, 549 is 21953412.

2. How to calculate the LCM of 468, 769, 769, 549?

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 468, 769, 769, 549.

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}.