Given numbers are 402,939,471,319,528

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

The LCM of 402,939,471,319,528 is 50413948464.

Find LCM of 402,939,471,319,528 with Prime Factorization

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

2 x 3 x 11 x 67 x 313 x 157 x 29 x 8 = 50413948464

Therefore, the lowest common multiple of 402,939,471,319,528 is 50413948464.

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.

402 x 939 x 471 x 319 x 528 = 29945885387616

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

939 : 1, 3, 313, 939

471 : 1, 3, 157, 471

319 : 1, 11, 29, 319

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 402,939,471,319,528, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

939:3x 313

471:3x 157

319:11x 29

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.

2x 3x 3x 3x 11 = 594

Therefore, the value for common factors is 594.

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 = 29945885387616/(1x594)

LCM = 29945885387616/594

LCM = 50413948464

Thus, we can understand that the LCM of 402,939,471,319,528 is 50413948464.

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

• LCM of 969, 707, 610, 756, 659
• LCM of 210, 898, 806, 342, 802
• LCM of 146, 391, 386, 209, 921
• LCM of 674, 155, 193, 887, 182
• LCM of 975, 720, 507, 959, 990

1. What is the LCM of 402, 939, 471, 319, 528?

Answer: LCM of 402, 939, 471, 319, 528 is 50413948464.

2. How to calculate the LCM of 402, 939, 471, 319, 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 402, 939, 471, 319, 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}.