Given numbers are 678,524,974,974

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

The LCM of 678,524,974,974 is 86508732.

Find LCM of 678,524,974,974 with Prime Factorization

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

2 x 487 x 339 x 262 x 1 x 1 = 86508732

Therefore, the lowest common multiple of 678,524,974,974 is 86508732.

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.

678 x 524 x 974 x 974 = 337038019872

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

524 : 1, 2, 4, 131, 262, 524

974 : 1, 2, 487, 974

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,524,974,974, is 2.

Now, the common factors can be found like this.

678:2x 3x 113

524:2x 2x 131

974:2x 487

974:2x 487

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 487 = 1948

Therefore, the value for common factors is 1948.

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 = 337038019872/(2x1948)

LCM = 337038019872/3896

LCM = 86508732

Thus, we can understand that the LCM of 678,524,974,974 is 86508732.

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

• LCM of 940, 714, 997, 996
• LCM of 290, 178, 551, 595
• LCM of 570, 137, 633, 518
• LCM of 116, 145, 152, 392
• LCM of 812, 104, 587, 913

1. What is the LCM of 678, 524, 974, 974?

Answer: LCM of 678, 524, 974, 974 is 86508732.

2. How to calculate the LCM of 678, 524, 974, 974?

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 678, 524, 974, 974.

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}.