Given numbers are 453,760,456,596

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

The LCM of 453,760,456,596 is 51297720.

Find LCM of 453,760,456,596 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 151 x 5 x 1 x 149 = 51297720

Therefore, the lowest common multiple of 453,760,456,596 is 51297720.

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.

453 x 760 x 456 x 596 = 93567041280

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.

453 : 1, 3, 151, 453

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,760,456,596, is 1.

Now, the common factors can be found like this.

453:3x 151

760:2x 2x 2x 5x 19

456:2x 2x 2x 3x 19

596:2x 2x 149

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 3x 19 = 1824

Therefore, the value for common factors is 1824.

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 = 93567041280/(1x1824)

LCM = 93567041280/1824

LCM = 51297720

Thus, we can understand that the LCM of 453,760,456,596 is 51297720.

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

• LCM of 662, 547, 829, 499
• LCM of 685, 351, 619, 808
• LCM of 437, 303, 620, 308
• LCM of 170, 631, 174, 586
• LCM of 988, 334, 608, 432

1. What is the LCM of 453, 760, 456, 596?

Answer: LCM of 453, 760, 456, 596 is 51297720.

2. How to calculate the LCM of 453, 760, 456, 596?

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 453, 760, 456, 596.

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}.