LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 294, 648, 768, 225, 512

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

Find the LCM of 294, 648, 768, 225, 512 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, 648, 768, 225, 512. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 294,648,768,225,512

Given numbers are 294,648,768,225,512

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

The LCM of 294,648,768,225,512 is 50803200.

Find LCM of 294,648,768,225,512 with Prime Factorization


2 294, 648, 768, 225, 512
2 147, 324, 384, 225, 256
2 147, 162, 192, 225, 128
2 147, 81, 96, 225, 64
2 147, 81, 48, 225, 32
2 147, 81, 24, 225, 16
2 147, 81, 12, 225, 8
2 147, 81, 6, 225, 4
3 147, 81, 3, 225, 2
3 49, 27, 1, 75, 2
49, 9, 1, 25, 2

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

2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 49 x 9 x 1 x 25 x 2 = 50803200

Therefore, the lowest common multiple of 294,648,768,225,512 is 50803200.

LCM Formula to Find Lowest Common Multiple of 294,648,768,225,512

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 648 x 768 x 225 x 512 = 16855282483200

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

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,648,768,225,512, is 1.

Now, the common factors can be found like this.

294:2x 3x 7x 7

648:2x 2x 2x 3x 3x 3x 3

768:2x 2x 2x 2x 2x 2x 2x 2x 3

225:3x 3x 5x 5

512:2x 2x 2x 2x 2x 2x 2x 2x 2

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 2x 2x 2x 2x 2x 2x 2x 2x 3x 3x 3x 3 = 331776

Therefore, the value for common factors is 331776.

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 = 16855282483200/(1x331776)

LCM = 16855282483200/331776

LCM = 50803200

Thus, we can understand that the LCM of 294,648,768,225,512 is 50803200.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 294, 648, 768, 225, 512

1. What is the LCM of 294, 648, 768, 225, 512?

Answer: LCM of 294, 648, 768, 225, 512 is 50803200.

2. How to calculate the LCM of 294, 648, 768, 225, 512?

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, 648, 768, 225, 512.

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}.