Given numbers are 528,407,936,743

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

The LCM of 528,407,936,743 is 566094672.

Find LCM of 528,407,936,743 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 2 x 37 x 39 x 743 = 566094672

Therefore, the lowest common multiple of 528,407,936,743 is 566094672.

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 407 x 936 x 743 = 149448993408

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

407 : 1, 11, 37, 407

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,407,936,743, is 1.

Now, the common factors can be found like this.

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

407:11x 37

936:2x 2x 2x 3x 3x 13

743:743

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 3x 11 = 264

Therefore, the value for common factors is 264.

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 = 149448993408/(1x264)

LCM = 149448993408/264

LCM = 566094672

Thus, we can understand that the LCM of 528,407,936,743 is 566094672.

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

• LCM of 836, 133, 308, 957
• LCM of 593, 523, 173, 611
• LCM of 363, 890, 648, 504
• LCM of 220, 196, 807, 629
• LCM of 376, 736, 336, 648

1. What is the LCM of 528, 407, 936, 743?

Answer: LCM of 528, 407, 936, 743 is 566094672.

2. How to calculate the LCM of 528, 407, 936, 743?

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, 407, 936, 743.

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}.