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LCM of 382, 281, 986, 464, 553

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


Find the LCM of 382, 281, 986, 464, 553 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 382, 281, 986, 464, 553. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 382,281,986,464,553

Given numbers are 382,281,986,464,553

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

The LCM of 382,281,986,464,553 is 234116336944.

Find LCM of 382,281,986,464,553 with Prime Factorization


2 382, 281, 986, 464, 553
29 191, 281, 493, 232, 553
191, 281, 17, 8, 553

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

2 x 29 x 191 x 281 x 17 x 8 x 553 = 234116336944

Therefore, the lowest common multiple of 382,281,986,464,553 is 234116336944.

LCM Formula to Find Lowest Common Multiple of 382,281,986,464,553

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.

382 x 281 x 986 x 464 x 553 = 27157495085504

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.

382 : 1, 2, 191, 382

281 : 1, 281

986 : 1, 2, 17, 29, 34, 58, 493, 986

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,281,986,464,553, is 1.

Now, the common factors can be found like this.

382:2x 191

281:281

986:2x 17x 29

464:2x 2x 2x 2x 29

553:7x 79

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 29 = 116

Therefore, the value for common factors is 116.

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 = 27157495085504/(1x116)

LCM = 27157495085504/116

LCM = 234116336944

Thus, we can understand that the LCM of 382,281,986,464,553 is 234116336944.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 382, 281, 986, 464, 553

1. What is the LCM of 382, 281, 986, 464, 553?

Answer: LCM of 382, 281, 986, 464, 553 is 234116336944.

2. How to calculate the LCM of 382, 281, 986, 464, 553?

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 382, 281, 986, 464, 553.

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}.