Given numbers are 473,210,674,408

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

The LCM of 473,210,674,408 is 2276246280.

Find LCM of 473,210,674,408 with Prime Factorization

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

2 x 3 x 473 x 35 x 337 x 68 = 2276246280

Therefore, the lowest common multiple of 473,210,674,408 is 2276246280.

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.

473 x 210 x 674 x 408 = 27314955360

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.

473 : 1, 11, 43, 473

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

674 : 1, 2, 337, 674

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,210,674,408, is 1.

Now, the common factors can be found like this.

473:11x 43

210:2x 3x 5x 7

674:2x 337

408:2x 2x 2x 3x 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 3 = 12

Therefore, the value for common factors is 12.

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 = 27314955360/(1x12)

LCM = 27314955360/12

LCM = 2276246280

Thus, we can understand that the LCM of 473,210,674,408 is 2276246280.

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

• LCM of 674, 191, 977, 829
• LCM of 472, 602, 930, 918
• LCM of 812, 789, 607, 833
• LCM of 993, 979, 632, 658
• LCM of 384, 828, 851, 155

1. What is the LCM of 473, 210, 674, 408?

Answer: LCM of 473, 210, 674, 408 is 2276246280.

2. How to calculate the LCM of 473, 210, 674, 408?

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 473, 210, 674, 408.

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}.