Given numbers are 340,407,228,269

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

The LCM of 340,407,228,269 is 2121780540.

Find LCM of 340,407,228,269 with Prime Factorization

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

2 x 2 x 85 x 407 x 57 x 269 = 2121780540

Therefore, the lowest common multiple of 340,407,228,269 is 2121780540.

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.

340 x 407 x 228 x 269 = 8487122160

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

407 : 1, 11, 37, 407

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,407,228,269, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

407:11x 37

228:2x 2x 3x 19

269:269

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 8487122160/(1x4)

LCM = 8487122160/4

LCM = 2121780540

Thus, we can understand that the LCM of 340,407,228,269 is 2121780540.

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

• LCM of 511, 874, 533, 860
• LCM of 829, 775, 207, 256
• LCM of 424, 353, 856, 445
• LCM of 755, 731, 830, 601
• LCM of 187, 979, 685, 597

1. What is the LCM of 340, 407, 228, 269?

Answer: LCM of 340, 407, 228, 269 is 2121780540.

2. How to calculate the LCM of 340, 407, 228, 269?

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 340, 407, 228, 269.

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}.