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LCM of 222, 298, 627, 155, 532

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


Find the LCM of 222, 298, 627, 155, 532 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 222, 298, 627, 155, 532. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 222,298,627,155,532

Given numbers are 222,298,627,155,532

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

The LCM of 222,298,627,155,532 is 15001865340.

Find LCM of 222,298,627,155,532 with Prime Factorization


2 222, 298, 627, 155, 532
3 111, 149, 627, 155, 266
19 37, 149, 209, 155, 266
37, 149, 11, 155, 14

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

2 x 3 x 19 x 37 x 149 x 11 x 155 x 14 = 15001865340

Therefore, the lowest common multiple of 222,298,627,155,532 is 15001865340.

LCM Formula to Find Lowest Common Multiple of 222,298,627,155,532

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.

222 x 298 x 627 x 155 x 532 = 3420425297520

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.

222 : 1, 2, 3, 6, 37, 74, 111, 222

298 : 1, 2, 149, 298

627 : 1, 3, 11, 19, 33, 57, 209, 627

155 : 1, 5, 31, 155

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,298,627,155,532, is 1.

Now, the common factors can be found like this.

222:2x 3x 37

298:2x 149

627:3x 11x 19

155:5x 31

532:2x 2x 7x 19

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 19 = 228

Therefore, the value for common factors is 228.

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 = 3420425297520/(1x228)

LCM = 3420425297520/228

LCM = 15001865340

Thus, we can understand that the LCM of 222,298,627,155,532 is 15001865340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 222, 298, 627, 155, 532

1. What is the LCM of 222, 298, 627, 155, 532?

Answer: LCM of 222, 298, 627, 155, 532 is 15001865340.

2. How to calculate the LCM of 222, 298, 627, 155, 532?

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 222, 298, 627, 155, 532.

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}.