Given numbers are 548,784,291,740,828

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

The LCM of 548,784,291,740,828 is 398979367920.

Find LCM of 548,784,291,740,828 with Prime Factorization

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

2 x 2 x 3 x 137 x 196 x 97 x 185 x 69 = 398979367920

Therefore, the lowest common multiple of 548,784,291,740,828 is 398979367920.

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.

548 x 784 x 291 x 740 x 828 = 76604038640640

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.

548 : 1, 2, 4, 137, 274, 548

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

291 : 1, 3, 97, 291

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,784,291,740,828, is 1.

Now, the common factors can be found like this.

548:2x 2x 137

784:2x 2x 2x 2x 7x 7

291:3x 97

740:2x 2x 5x 37

828:2x 2x 3x 3x 23

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 3 = 192

Therefore, the value for common factors is 192.

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 = 76604038640640/(1x192)

LCM = 76604038640640/192

LCM = 398979367920

Thus, we can understand that the LCM of 548,784,291,740,828 is 398979367920.

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

• LCM of 739, 462, 547, 939, 229
• LCM of 744, 139, 340, 777, 385
• LCM of 290, 264, 251, 455, 354
• LCM of 817, 709, 914, 590, 662
• LCM of 403, 991, 615, 141, 986

1. What is the LCM of 548, 784, 291, 740, 828?

Answer: LCM of 548, 784, 291, 740, 828 is 398979367920.

2. How to calculate the LCM of 548, 784, 291, 740, 828?

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 548, 784, 291, 740, 828.

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}.