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LCM of 294, 987, 842, 332, 459

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


Find the LCM of 294, 987, 842, 332, 459 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 294, 987, 842, 332, 459. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 294,987,842,332,459

Given numbers are 294,987,842,332,459

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

The LCM of 294,987,842,332,459 is 147749766444.

Find LCM of 294,987,842,332,459 with Prime Factorization


2 294, 987, 842, 332, 459
3 147, 987, 421, 166, 459
7 49, 329, 421, 166, 153
7, 47, 421, 166, 153

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

2 x 3 x 7 x 7 x 47 x 421 x 166 x 153 = 147749766444

Therefore, the lowest common multiple of 294,987,842,332,459 is 147749766444.

LCM Formula to Find Lowest Common Multiple of 294,987,842,332,459

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.

294 x 987 x 842 x 332 x 459 = 37232941143888

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.

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

987 : 1, 3, 7, 21, 47, 141, 329, 987

842 : 1, 2, 421, 842

332 : 1, 2, 4, 83, 166, 332

459 : 1, 3, 9, 17, 27, 51, 153, 459

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,987,842,332,459, is 1.

Now, the common factors can be found like this.

294:2x 3x 7x 7

987:3x 7x 47

842:2x 421

332:2x 2x 83

459:3x 3x 3x 17

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 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 37232941143888/(1x252)

LCM = 37232941143888/252

LCM = 147749766444

Thus, we can understand that the LCM of 294,987,842,332,459 is 147749766444.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 294, 987, 842, 332, 459

1. What is the LCM of 294, 987, 842, 332, 459?

Answer: LCM of 294, 987, 842, 332, 459 is 147749766444.

2. How to calculate the LCM of 294, 987, 842, 332, 459?

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 294, 987, 842, 332, 459.

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}.