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LCM of 294, 482, 772, 780, 738

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


Find the LCM of 294, 482, 772, 780, 738 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, 482, 772, 780, 738. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 294,482,772,780,738

Given numbers are 294,482,772,780,738

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

The LCM of 294,482,772,780,738 is 218660403780.

Find LCM of 294,482,772,780,738 with Prime Factorization


2 294, 482, 772, 780, 738
2 147, 241, 386, 390, 369
3 147, 241, 193, 195, 369
49, 241, 193, 65, 123

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

2 x 2 x 3 x 49 x 241 x 193 x 65 x 123 = 218660403780

Therefore, the lowest common multiple of 294,482,772,780,738 is 218660403780.

LCM Formula to Find Lowest Common Multiple of 294,482,772,780,738

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 482 x 772 x 780 x 738 = 62974196288640

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

482 : 1, 2, 241, 482

772 : 1, 2, 4, 193, 386, 772

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,482,772,780,738, is 2.

Now, the common factors can be found like this.

294:2x 3x 7x 7

482:2x 241

772:2x 2x 193

780:2x 2x 3x 5x 13

738:2x 3x 3x 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 2x 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 62974196288640/(2x144)

LCM = 62974196288640/288

LCM = 218660403780

Thus, we can understand that the LCM of 294,482,772,780,738 is 218660403780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 294, 482, 772, 780, 738

1. What is the LCM of 294, 482, 772, 780, 738?

Answer: LCM of 294, 482, 772, 780, 738 is 218660403780.

2. How to calculate the LCM of 294, 482, 772, 780, 738?

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, 482, 772, 780, 738.

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}.