Given numbers are 678,742,452

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

The LCM of 678,742,452 is 503076.

Find LCM of 678,742,452 with Prime Factorization

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

2 x 113 x 3 x 371 x 2 = 503076

Therefore, the lowest common multiple of 678,742,452 is 503076.

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 742 x 452 = 227390352

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

742 : 1, 2, 7, 14, 53, 106, 371, 742

452 : 1, 2, 4, 113, 226, 452

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,742,452, is 2.

Now, the common factors can be found like this.

678:2x 3x 113

742:2x 7x 53

452:2x 2x 113

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

2x 113 = 226

Therefore, the value for common factors is 226.

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 = 227390352/(2x226)

LCM = 227390352/452

LCM = 503076

Thus, we can understand that the LCM of 678,742,452 is 503076.

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

• LCM of 189, 907, 900
• LCM of 220, 783, 909
• LCM of 196, 469, 965
• LCM of 342, 522, 427
• LCM of 488, 856, 289

1. What is the LCM of 678, 742, 452?

Answer: LCM of 678, 742, 452 is 503076.

2. How to calculate the LCM of 678, 742, 452?

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, 742, 452.

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}.