Given numbers are 535,701,214,470

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

The LCM of 535,701,214,470 is 35253290.

Find LCM of 535,701,214,470 with Prime Factorization

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

2 x 5 x 107 x 1 x 701 x 1 x 47 = 35253290

Therefore, the lowest common multiple of 535,701,214,470 is 35253290.

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.

535 x 701 x 214 x 470 = 37721020300

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.

535 : 1, 5, 107, 535

701 : 1, 701

214 : 1, 2, 107, 214

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,701,214,470, is 1.

Now, the common factors can be found like this.

535:5x 107

701:701

214:2x 107

470:2x 5x 47

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

2x 5x 107 = 1070

Therefore, the value for common factors is 1070.

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 = 37721020300/(1x1070)

LCM = 37721020300/1070

LCM = 35253290

Thus, we can understand that the LCM of 535,701,214,470 is 35253290.

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

• LCM of 329, 854, 808, 306
• LCM of 600, 445, 104, 299
• LCM of 426, 496, 826, 839
• LCM of 998, 801, 289, 363
• LCM of 946, 215, 902, 602

1. What is the LCM of 535, 701, 214, 470?

Answer: LCM of 535, 701, 214, 470 is 35253290.

2. How to calculate the LCM of 535, 701, 214, 470?

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 535, 701, 214, 470.

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}.