Given numbers are 385,235,473,771,528

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

The LCM of 385,235,473,771,528 is 9598456560.

Find LCM of 385,235,473,771,528 with Prime Factorization

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

3 x 5 x 11 x 7 x 47 x 43 x 257 x 16 = 9598456560

Therefore, the lowest common multiple of 385,235,473,771,528 is 9598456560.

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.

385 x 235 x 473 x 771 x 528 = 17421198656400

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.

385 : 1, 5, 7, 11, 35, 55, 77, 385

235 : 1, 5, 47, 235

473 : 1, 11, 43, 473

771 : 1, 3, 257, 771

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,235,473,771,528, is 1.

Now, the common factors can be found like this.

385:5x 7x 11

235:5x 47

473:11x 43

771:3x 257

528:2x 2x 2x 2x 3x 11

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

3x 5x 11x 11 = 1815

Therefore, the value for common factors is 1815.

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 = 17421198656400/(1x1815)

LCM = 17421198656400/1815

LCM = 9598456560

Thus, we can understand that the LCM of 385,235,473,771,528 is 9598456560.

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

• LCM of 972, 701, 243, 875, 712
• LCM of 702, 757, 304, 731, 832
• LCM of 971, 936, 696, 820, 528
• LCM of 143, 405, 421, 914, 895
• LCM of 627, 448, 160, 727, 487

1. What is the LCM of 385, 235, 473, 771, 528?

Answer: LCM of 385, 235, 473, 771, 528 is 9598456560.

2. How to calculate the LCM of 385, 235, 473, 771, 528?

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 385, 235, 473, 771, 528.

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}.