Given numbers are 496,461,220,292

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

The LCM of 496,461,220,292 is 918053840.

Find LCM of 496,461,220,292 with Prime Factorization

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

2 x 2 x 124 x 461 x 55 x 73 = 918053840

Therefore, the lowest common multiple of 496,461,220,292 is 918053840.

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.

496 x 461 x 220 x 292 = 14688861440

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.

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

461 : 1, 461

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

292 : 1, 2, 4, 73, 146, 292

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,461,220,292, is 1.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

461:461

220:2x 2x 5x 11

292:2x 2x 73

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 = 14688861440/(1x16)

LCM = 14688861440/16

LCM = 918053840

Thus, we can understand that the LCM of 496,461,220,292 is 918053840.

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

• LCM of 754, 325, 568, 133
• LCM of 567, 925, 600, 672
• LCM of 655, 583, 806, 812
• LCM of 547, 828, 602, 930
• LCM of 815, 350, 515, 159

1. What is the LCM of 496, 461, 220, 292?

Answer: LCM of 496, 461, 220, 292 is 918053840.

2. How to calculate the LCM of 496, 461, 220, 292?

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 496, 461, 220, 292.

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}.