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LCM of 198, 648, 138, 697

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


Find the LCM of 198, 648, 138, 697 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, 648, 138, 697. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 198,648,138,697

Given numbers are 198,648,138,697

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

The LCM of 198,648,138,697 is 114268968.

Find LCM of 198,648,138,697 with Prime Factorization


2 198, 648, 138, 697
3 99, 324, 69, 697
3 33, 108, 23, 697
11, 36, 23, 697

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

2 x 3 x 3 x 11 x 36 x 23 x 697 = 114268968

Therefore, the lowest common multiple of 198,648,138,697 is 114268968.

LCM Formula to Find Lowest Common Multiple of 198,648,138,697

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 648 x 138 x 697 = 12341048544

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

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

138 : 1, 2, 3, 6, 23, 46, 69, 138

697 : 1, 17, 41, 697

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,648,138,697, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

648:2x 2x 2x 3x 3x 3x 3

138:2x 3x 23

697:17x 41

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 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 12341048544/(1x108)

LCM = 12341048544/108

LCM = 114268968

Thus, we can understand that the LCM of 198,648,138,697 is 114268968.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 198, 648, 138, 697

1. What is the LCM of 198, 648, 138, 697?

Answer: LCM of 198, 648, 138, 697 is 114268968.

2. How to calculate the LCM of 198, 648, 138, 697?

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, 648, 138, 697.

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}.