Given numbers are 420,490,734,388,528

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

The LCM of 420,490,734,388,528 is 4605086640.

Find LCM of 420,490,734,388,528 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 1 x 7 x 367 x 97 x 44 = 4605086640

Therefore, the lowest common multiple of 420,490,734,388,528 is 4605086640.

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.

420 x 490 x 734 x 388 x 528 = 30946182220800

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

734 : 1, 2, 367, 734

388 : 1, 2, 4, 97, 194, 388

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,490,734,388,528, is 2.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

490:2x 5x 7x 7

734:2x 367

388:2x 2x 97

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 2x 2x 2x 2x 3x 5x 7 = 3360

Therefore, the value for common factors is 3360.

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 = 30946182220800/(2x3360)

LCM = 30946182220800/6720

LCM = 4605086640

Thus, we can understand that the LCM of 420,490,734,388,528 is 4605086640.

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

• LCM of 787, 251, 402, 328, 172
• LCM of 107, 254, 753, 504, 782
• LCM of 658, 847, 980, 176, 784
• LCM of 945, 765, 797, 459, 112
• LCM of 834, 567, 453, 982, 489

1. What is the LCM of 420, 490, 734, 388, 528?

Answer: LCM of 420, 490, 734, 388, 528 is 4605086640.

2. How to calculate the LCM of 420, 490, 734, 388, 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 420, 490, 734, 388, 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}.