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LCM of 264, 108, 428, 628

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


Find the LCM of 264, 108, 428, 628 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 264, 108, 428, 628. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 264,108,428,628

Given numbers are 264,108,428,628

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

The LCM of 264,108,428,628 is 39914424.

Find LCM of 264,108,428,628 with Prime Factorization


2 264, 108, 428, 628
2 132, 54, 214, 314
3 66, 27, 107, 157
22, 9, 107, 157

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

2 x 2 x 3 x 22 x 9 x 107 x 157 = 39914424

Therefore, the lowest common multiple of 264,108,428,628 is 39914424.

LCM Formula to Find Lowest Common Multiple of 264,108,428,628

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.

264 x 108 x 428 x 628 = 7663569408

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

428 : 1, 2, 4, 107, 214, 428

628 : 1, 2, 4, 157, 314, 628

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,108,428,628, is 4.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

108:2x 2x 3x 3x 3

428:2x 2x 107

628:2x 2x 157

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 3 = 48

Therefore, the value for common factors is 48.

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 = 7663569408/(4x48)

LCM = 7663569408/192

LCM = 39914424

Thus, we can understand that the LCM of 264,108,428,628 is 39914424.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 264, 108, 428, 628

1. What is the LCM of 264, 108, 428, 628?

Answer: LCM of 264, 108, 428, 628 is 39914424.

2. How to calculate the LCM of 264, 108, 428, 628?

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 264, 108, 428, 628.

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}.