Given numbers are 428,577,398,214

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

The LCM of 428,577,398,214 is 49144244.

Find LCM of 428,577,398,214 with Prime Factorization

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

2 x 107 x 2 x 577 x 199 x 1 = 49144244

Therefore, the lowest common multiple of 428,577,398,214 is 49144244.

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.

428 x 577 x 398 x 214 = 21033736432

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.

428 : 1, 2, 4, 107, 214, 428

577 : 1, 577

398 : 1, 2, 199, 398

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,577,398,214, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

577:577

398:2x 199

214:2x 107

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 107 = 428

Therefore, the value for common factors is 428.

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 = 21033736432/(1x428)

LCM = 21033736432/428

LCM = 49144244

Thus, we can understand that the LCM of 428,577,398,214 is 49144244.

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

• LCM of 715, 951, 774, 856
• LCM of 209, 789, 713, 639
• LCM of 482, 212, 867, 777
• LCM of 211, 590, 239, 107
• LCM of 501, 940, 347, 219

1. What is the LCM of 428, 577, 398, 214?

Answer: LCM of 428, 577, 398, 214 is 49144244.

2. How to calculate the LCM of 428, 577, 398, 214?

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 428, 577, 398, 214.

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}.