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LCM of 402, 272, 935, 269, 485

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


Find the LCM of 402, 272, 935, 269, 485 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 402, 272, 935, 269, 485. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 402,272,935,269,485

Given numbers are 402,272,935,269,485

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

The LCM of 402,272,935,269,485 is 78460607280.

Find LCM of 402,272,935,269,485 with Prime Factorization


2 402, 272, 935, 269, 485
5 201, 136, 935, 269, 485
17 201, 136, 187, 269, 97
201, 8, 11, 269, 97

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

2 x 5 x 17 x 201 x 8 x 11 x 269 x 97 = 78460607280

Therefore, the lowest common multiple of 402,272,935,269,485 is 78460607280.

LCM Formula to Find Lowest Common Multiple of 402,272,935,269,485

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.

402 x 272 x 935 x 269 x 485 = 13338303237600

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

935 : 1, 5, 11, 17, 55, 85, 187, 935

269 : 1, 269

485 : 1, 5, 97, 485

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,272,935,269,485, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

272:2x 2x 2x 2x 17

935:5x 11x 17

269:269

485:5x 97

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

2x 5x 17 = 170

Therefore, the value for common factors is 170.

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 = 13338303237600/(1x170)

LCM = 13338303237600/170

LCM = 78460607280

Thus, we can understand that the LCM of 402,272,935,269,485 is 78460607280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 402, 272, 935, 269, 485

1. What is the LCM of 402, 272, 935, 269, 485?

Answer: LCM of 402, 272, 935, 269, 485 is 78460607280.

2. How to calculate the LCM of 402, 272, 935, 269, 485?

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 402, 272, 935, 269, 485.

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}.