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LCM of 198, 527, 257, 723, 723

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


Find the LCM of 198, 527, 257, 723, 723 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, 527, 257, 723, 723. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 198,527,257,723,723

Given numbers are 198,527,257,723,723

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

The LCM of 198,527,257,723,723 is 6462878202.

Find LCM of 198,527,257,723,723 with Prime Factorization


3 198, 527, 257, 723, 723
241 66, 527, 257, 241, 241
66, 527, 257, 1, 1

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

3 x 241 x 66 x 527 x 257 x 1 x 1 = 6462878202

Therefore, the lowest common multiple of 198,527,257,723,723 is 6462878202.

LCM Formula to Find Lowest Common Multiple of 198,527,257,723,723

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 527 x 257 x 723 x 723 = 14017982820138

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

527 : 1, 17, 31, 527

257 : 1, 257

723 : 1, 3, 241, 723

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,527,257,723,723, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

527:17x 31

257:257

723:3x 241

723:3x 241

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 241 = 2169

Therefore, the value for common factors is 2169.

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 = 14017982820138/(1x2169)

LCM = 14017982820138/2169

LCM = 6462878202

Thus, we can understand that the LCM of 198,527,257,723,723 is 6462878202.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 198, 527, 257, 723, 723

1. What is the LCM of 198, 527, 257, 723, 723?

Answer: LCM of 198, 527, 257, 723, 723 is 6462878202.

2. How to calculate the LCM of 198, 527, 257, 723, 723?

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, 527, 257, 723, 723.

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}.