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LCM of 198, 638, 722, 624

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


Find the LCM of 198, 638, 722, 624 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 198, 638, 722, 624. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 198,638,722,624

Given numbers are 198,638,722,624

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

The LCM of 198,638,722,624 is 215577648.

Find LCM of 198,638,722,624 with Prime Factorization


2 198, 638, 722, 624
3 99, 319, 361, 312
11 33, 319, 361, 104
3, 29, 361, 104

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

2 x 3 x 11 x 3 x 29 x 361 x 104 = 215577648

Therefore, the lowest common multiple of 198,638,722,624 is 215577648.

LCM Formula to Find Lowest Common Multiple of 198,638,722,624

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.

198 x 638 x 722 x 624 = 56912499072

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.

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

638 : 1, 2, 11, 22, 29, 58, 319, 638

722 : 1, 2, 19, 38, 361, 722

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,638,722,624, is 2.

Now, the common factors can be found like this.

198:2x 3x 3x 11

638:2x 11x 29

722:2x 19x 19

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

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 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 56912499072/(2x132)

LCM = 56912499072/264

LCM = 215577648

Thus, we can understand that the LCM of 198,638,722,624 is 215577648.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 198, 638, 722, 624

1. What is the LCM of 198, 638, 722, 624?

Answer: LCM of 198, 638, 722, 624 is 215577648.

2. How to calculate the LCM of 198, 638, 722, 624?

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 198, 638, 722, 624.

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}.