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LCM of 626, 698, 253, 553

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


Find the LCM of 626, 698, 253, 553 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 626, 698, 253, 553. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 626,698,253,553

Given numbers are 626,698,253,553

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

The LCM of 626,698,253,553 is 30566478866.

Find LCM of 626,698,253,553 with Prime Factorization


2 626, 698, 253, 553
313, 349, 253, 553

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

2 x 313 x 349 x 253 x 553 = 30566478866

Therefore, the lowest common multiple of 626,698,253,553 is 30566478866.

LCM Formula to Find Lowest Common Multiple of 626,698,253,553

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.

626 x 698 x 253 x 553 = 61132957732

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.

626 : 1, 2, 313, 626

698 : 1, 2, 349, 698

253 : 1, 11, 23, 253

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,698,253,553, is 1.

Now, the common factors can be found like this.

626:2x 313

698:2x 349

253:11x 23

553:7x 79

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 = 61132957732/(1x2)

LCM = 61132957732/2

LCM = 30566478866

Thus, we can understand that the LCM of 626,698,253,553 is 30566478866.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 626, 698, 253, 553

1. What is the LCM of 626, 698, 253, 553?

Answer: LCM of 626, 698, 253, 553 is 30566478866.

2. How to calculate the LCM of 626, 698, 253, 553?

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 626, 698, 253, 553.

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}.