Given numbers are 528,113,624,460,473

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

The LCM of 528,113,624,460,473 is 3835500240.

Find LCM of 528,113,624,460,473 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 11 x 1 x 113 x 13 x 115 x 43 = 3835500240

Therefore, the lowest common multiple of 528,113,624,460,473 is 3835500240.

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.

528 x 113 x 624 x 460 x 473 = 8100576506880

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.

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

113 : 1, 113

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,113,624,460,473, is 1.

Now, the common factors can be found like this.

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

113:113

624:2x 2x 2x 2x 3x 13

460:2x 2x 5x 23

473:11x 43

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 2x 3x 11 = 2112

Therefore, the value for common factors is 2112.

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 = 8100576506880/(1x2112)

LCM = 8100576506880/2112

LCM = 3835500240

Thus, we can understand that the LCM of 528,113,624,460,473 is 3835500240.

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

• LCM of 268, 975, 855, 861, 643
• LCM of 424, 821, 628, 930, 127
• LCM of 943, 292, 352, 767, 429
• LCM of 378, 552, 155, 674, 170
• LCM of 335, 969, 934, 407, 109

1. What is the LCM of 528, 113, 624, 460, 473?

Answer: LCM of 528, 113, 624, 460, 473 is 3835500240.

2. How to calculate the LCM of 528, 113, 624, 460, 473?

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 528, 113, 624, 460, 473.

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}.