Given numbers are 674,312,262

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

The LCM of 674,312,262 is 13773864.

Find LCM of 674,312,262 with Prime Factorization

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

2 x 337 x 156 x 131 = 13773864

Therefore, the lowest common multiple of 674,312,262 is 13773864.

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.

674 x 312 x 262 = 55095456

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.

674 : 1, 2, 337, 674

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

262 : 1, 2, 131, 262

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,312,262, is 2.

Now, the common factors can be found like this.

674:2x 337

312:2x 2x 2x 3x 13

262:2x 131

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

2 = 2

Therefore, the value for common factors is 2.

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 = 55095456/(2x2)

LCM = 55095456/4

LCM = 13773864

Thus, we can understand that the LCM of 674,312,262 is 13773864.

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

• LCM of 628, 852, 159
• LCM of 232, 279, 389
• LCM of 587, 546, 225
• LCM of 510, 629, 618
• LCM of 494, 166, 208

1. What is the LCM of 674, 312, 262?

Answer: LCM of 674, 312, 262 is 13773864.

2. How to calculate the LCM of 674, 312, 262?

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 674, 312, 262.

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}.