Given numbers are 473,461,456,978

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

The LCM of 473,461,456,978 is 16207443384.

Find LCM of 473,461,456,978 with Prime Factorization

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

2 x 3 x 473 x 461 x 76 x 163 = 16207443384

Therefore, the lowest common multiple of 473,461,456,978 is 16207443384.

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 461 x 456 x 978 = 97244660304

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

461 : 1, 461

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

978 : 1, 2, 3, 6, 163, 326, 489, 978

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,461,456,978, is 1.

Now, the common factors can be found like this.

473:11x 43

461:461

456:2x 2x 2x 3x 19

978:2x 3x 163

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 97244660304/(1x6)

LCM = 97244660304/6

LCM = 16207443384

Thus, we can understand that the LCM of 473,461,456,978 is 16207443384.

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

• LCM of 501, 791, 103, 571
• LCM of 881, 284, 501, 987
• LCM of 809, 975, 140, 234
• LCM of 868, 721, 401, 484
• LCM of 163, 648, 888, 938

1. What is the LCM of 473, 461, 456, 978?

Answer: LCM of 473, 461, 456, 978 is 16207443384.

2. How to calculate the LCM of 473, 461, 456, 978?

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, 461, 456, 978.

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}.