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LCM of 644, 624, 676, 247

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


Find the LCM of 644, 624, 676, 247 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 644, 624, 676, 247. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 644,624,676,247

Given numbers are 644,624,676,247

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

The LCM of 644,624,676,247 is 24814608.

Find LCM of 644,624,676,247 with Prime Factorization


2 644, 624, 676, 247
2 322, 312, 338, 247
13 161, 156, 169, 247
161, 12, 13, 19

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

2 x 2 x 13 x 161 x 12 x 13 x 19 = 24814608

Therefore, the lowest common multiple of 644,624,676,247 is 24814608.

LCM Formula to Find Lowest Common Multiple of 644,624,676,247

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.

644 x 624 x 676 x 247 = 67098700032

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.

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

247 : 1, 13, 19, 247

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,624,676,247, is 1.

Now, the common factors can be found like this.

644:2x 2x 7x 23

624:2x 2x 2x 2x 3x 13

676:2x 2x 13x 13

247:13x 19

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 13x 13 = 2704

Therefore, the value for common factors is 2704.

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 = 67098700032/(1x2704)

LCM = 67098700032/2704

LCM = 24814608

Thus, we can understand that the LCM of 644,624,676,247 is 24814608.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 644, 624, 676, 247

1. What is the LCM of 644, 624, 676, 247?

Answer: LCM of 644, 624, 676, 247 is 24814608.

2. How to calculate the LCM of 644, 624, 676, 247?

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 644, 624, 676, 247.

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}.