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LCM of 223, 603, 708, 828, 198

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


Find the LCM of 223, 603, 708, 828, 198 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 223, 603, 708, 828, 198. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 223,603,708,828,198

Given numbers are 223,603,708,828,198

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

The LCM of 223,603,708,828,198 is 8028875052.

Find LCM of 223,603,708,828,198 with Prime Factorization


2 223, 603, 708, 828, 198
2 223, 603, 354, 414, 99
3 223, 603, 177, 207, 99
3 223, 201, 59, 69, 33
223, 67, 59, 23, 11

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

2 x 2 x 3 x 3 x 223 x 67 x 59 x 23 x 11 = 8028875052

Therefore, the lowest common multiple of 223,603,708,828,198 is 8028875052.

LCM Formula to Find Lowest Common Multiple of 223,603,708,828,198

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.

223 x 603 x 708 x 828 x 198 = 15608133101088

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.

223 : 1, 223

603 : 1, 3, 9, 67, 201, 603

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,603,708,828,198, is 1.

Now, the common factors can be found like this.

223:223

603:3x 3x 67

708:2x 2x 3x 59

828:2x 2x 3x 3x 23

198:2x 3x 3x 11

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 3x 3x 3x 3x 3 = 1944

Therefore, the value for common factors is 1944.

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 = 15608133101088/(1x1944)

LCM = 15608133101088/1944

LCM = 8028875052

Thus, we can understand that the LCM of 223,603,708,828,198 is 8028875052.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 223, 603, 708, 828, 198

1. What is the LCM of 223, 603, 708, 828, 198?

Answer: LCM of 223, 603, 708, 828, 198 is 8028875052.

2. How to calculate the LCM of 223, 603, 708, 828, 198?

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 223, 603, 708, 828, 198.

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}.