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LCM of 308, 282, 287, 349, 533

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


Find the LCM of 308, 282, 287, 349, 533 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 308, 282, 287, 349, 533. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 308,282,287,349,533

Given numbers are 308,282,287,349,533

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

The LCM of 308,282,287,349,533 is 8078346276.

Find LCM of 308,282,287,349,533 with Prime Factorization


2 308, 282, 287, 349, 533
7 154, 141, 287, 349, 533
41 22, 141, 41, 349, 533
22, 141, 1, 349, 13

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

2 x 7 x 41 x 22 x 141 x 1 x 349 x 13 = 8078346276

Therefore, the lowest common multiple of 308,282,287,349,533 is 8078346276.

LCM Formula to Find Lowest Common Multiple of 308,282,287,349,533

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.

308 x 282 x 287 x 349 x 533 = 4636970762424

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.

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

282 : 1, 2, 3, 6, 47, 94, 141, 282

287 : 1, 7, 41, 287

349 : 1, 349

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,282,287,349,533, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

282:2x 3x 47

287:7x 41

349:349

533:13x 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 7x 41 = 574

Therefore, the value for common factors is 574.

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 = 4636970762424/(1x574)

LCM = 4636970762424/574

LCM = 8078346276

Thus, we can understand that the LCM of 308,282,287,349,533 is 8078346276.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 308, 282, 287, 349, 533

1. What is the LCM of 308, 282, 287, 349, 533?

Answer: LCM of 308, 282, 287, 349, 533 is 8078346276.

2. How to calculate the LCM of 308, 282, 287, 349, 533?

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 308, 282, 287, 349, 533.

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}.