Given numbers are 406,206,116,674

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

The LCM of 406,206,116,674 is 28185332.

Find LCM of 406,206,116,674 with Prime Factorization

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

2 x 29 x 7 x 103 x 2 x 337 = 28185332

Therefore, the lowest common multiple of 406,206,116,674 is 28185332.

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.

406 x 206 x 116 x 674 = 6538997024

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.

406 : 1, 2, 7, 14, 29, 58, 203, 406

206 : 1, 2, 103, 206

116 : 1, 2, 4, 29, 58, 116

674 : 1, 2, 337, 674

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,206,116,674, is 2.

Now, the common factors can be found like this.

406:2x 7x 29

206:2x 103

116:2x 2x 29

674:2x 337

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 29 = 116

Therefore, the value for common factors is 116.

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 = 6538997024/(2x116)

LCM = 6538997024/232

LCM = 28185332

Thus, we can understand that the LCM of 406,206,116,674 is 28185332.

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

• LCM of 974, 176, 601, 958
• LCM of 113, 340, 817, 495
• LCM of 434, 598, 726, 766
• LCM of 362, 817, 773, 778
• LCM of 745, 517, 513, 137

1. What is the LCM of 406, 206, 116, 674?

Answer: LCM of 406, 206, 116, 674 is 28185332.

2. How to calculate the LCM of 406, 206, 116, 674?

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 406, 206, 116, 674.

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}.