Given numbers are 427,412,576,748

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

The LCM of 427,412,576,748 is 4737281472.

Find LCM of 427,412,576,748 with Prime Factorization

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

2 x 2 x 427 x 103 x 144 x 187 = 4737281472

Therefore, the lowest common multiple of 427,412,576,748 is 4737281472.

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.

427 x 412 x 576 x 748 = 75796503552

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.

427 : 1, 7, 61, 427

412 : 1, 2, 4, 103, 206, 412

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,412,576,748, is 1.

Now, the common factors can be found like this.

427:7x 61

412:2x 2x 103

576:2x 2x 2x 2x 2x 2x 3x 3

748:2x 2x 11x 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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 75796503552/(1x16)

LCM = 75796503552/16

LCM = 4737281472

Thus, we can understand that the LCM of 427,412,576,748 is 4737281472.

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

• LCM of 167, 565, 504, 696
• LCM of 398, 237, 690, 875
• LCM of 470, 824, 595, 459
• LCM of 658, 401, 309, 909
• LCM of 510, 976, 208, 399

1. What is the LCM of 427, 412, 576, 748?

Answer: LCM of 427, 412, 576, 748 is 4737281472.

2. How to calculate the LCM of 427, 412, 576, 748?

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 427, 412, 576, 748.

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}.