Given numbers are 524,456,908,340

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

The LCM of 524,456,908,340 is 1152606120.

Find LCM of 524,456,908,340 with Prime Factorization

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

2 x 2 x 131 x 114 x 227 x 85 = 1152606120

Therefore, the lowest common multiple of 524,456,908,340 is 1152606120.

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.

524 x 456 x 908 x 340 = 73766791680

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.

524 : 1, 2, 4, 131, 262, 524

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

908 : 1, 2, 4, 227, 454, 908

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,456,908,340, is 4.

Now, the common factors can be found like this.

524:2x 2x 131

456:2x 2x 2x 3x 19

908:2x 2x 227

340:2x 2x 5x 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 = 73766791680/(4x16)

LCM = 73766791680/64

LCM = 1152606120

Thus, we can understand that the LCM of 524,456,908,340 is 1152606120.

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

• LCM of 346, 996, 709, 361
• LCM of 657, 158, 566, 414
• LCM of 222, 680, 999, 512
• LCM of 174, 735, 916, 401
• LCM of 780, 677, 779, 772

1. What is the LCM of 524, 456, 908, 340?

Answer: LCM of 524, 456, 908, 340 is 1152606120.

2. How to calculate the LCM of 524, 456, 908, 340?

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 524, 456, 908, 340.

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}.