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LCM of 282, 112, 188, 482, 977

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


Find the LCM of 282, 112, 188, 482, 977 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 282, 112, 188, 482, 977. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 282,112,188,482,977

Given numbers are 282,112,188,482,977

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

The LCM of 282,112,188,482,977 is 3718336944.

Find LCM of 282,112,188,482,977 with Prime Factorization


2 282, 112, 188, 482, 977
2 141, 56, 94, 241, 977
47 141, 28, 47, 241, 977
3, 28, 1, 241, 977

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

2 x 2 x 47 x 3 x 28 x 1 x 241 x 977 = 3718336944

Therefore, the lowest common multiple of 282,112,188,482,977 is 3718336944.

LCM Formula to Find Lowest Common Multiple of 282,112,188,482,977

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.

282 x 112 x 188 x 482 x 977 = 2796189381888

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.

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

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

188 : 1, 2, 4, 47, 94, 188

482 : 1, 2, 241, 482

977 : 1, 977

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,112,188,482,977, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

112:2x 2x 2x 2x 7

188:2x 2x 47

482:2x 241

977:977

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 2x 47 = 752

Therefore, the value for common factors is 752.

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 = 2796189381888/(1x752)

LCM = 2796189381888/752

LCM = 3718336944

Thus, we can understand that the LCM of 282,112,188,482,977 is 3718336944.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 282, 112, 188, 482, 977

1. What is the LCM of 282, 112, 188, 482, 977?

Answer: LCM of 282, 112, 188, 482, 977 is 3718336944.

2. How to calculate the LCM of 282, 112, 188, 482, 977?

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 282, 112, 188, 482, 977.

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}.