Given numbers are 313,510,149,298,572

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

The LCM of 313,510,149,298,572 is 6802472820.

Find LCM of 313,510,149,298,572 with Prime Factorization

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

2 x 149 x 313 x 255 x 1 x 1 x 286 = 6802472820

Therefore, the lowest common multiple of 313,510,149,298,572 is 6802472820.

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.

313 x 510 x 149 x 298 x 572 = 4054273800720

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.

313 : 1, 313

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

149 : 1, 149

298 : 1, 2, 149, 298

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,510,149,298,572, is 1.

Now, the common factors can be found like this.

313:313

510:2x 3x 5x 17

149:149

298:2x 149

572:2x 2x 11x 13

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 149 = 596

Therefore, the value for common factors is 596.

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 = 4054273800720/(1x596)

LCM = 4054273800720/596

LCM = 6802472820

Thus, we can understand that the LCM of 313,510,149,298,572 is 6802472820.

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

• LCM of 627, 410, 367, 550, 875
• LCM of 264, 225, 143, 247, 935
• LCM of 669, 931, 742, 466, 838
• LCM of 309, 450, 831, 788, 900
• LCM of 753, 296, 133, 706, 713

1. What is the LCM of 313, 510, 149, 298, 572?

Answer: LCM of 313, 510, 149, 298, 572 is 6802472820.

2. How to calculate the LCM of 313, 510, 149, 298, 572?

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 313, 510, 149, 298, 572.

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}.