Given numbers are 920,782,737,114,952

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

The LCM of 920,782,737,114,952 is 4599145320.

Find LCM of 920,782,737,114,952 with Prime Factorization

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

2 x 2 x 2 x 17 x 23 x 5 x 1 x 737 x 57 x 7 = 4599145320

Therefore, the lowest common multiple of 920,782,737,114,952 is 4599145320.

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.

920 x 782 x 737 x 114 x 952 = 57544506243840

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

782 : 1, 2, 17, 23, 34, 46, 391, 782

737 : 1, 11, 67, 737

114 : 1, 2, 3, 6, 19, 38, 57, 114

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,782,737,114,952, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

782:2x 17x 23

737:11x 67

114:2x 3x 19

952:2x 2x 2x 7x 17

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 17x 23 = 12512

Therefore, the value for common factors is 12512.

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 = 57544506243840/(1x12512)

LCM = 57544506243840/12512

LCM = 4599145320

Thus, we can understand that the LCM of 920,782,737,114,952 is 4599145320.

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

• LCM of 413, 268, 668, 224, 690
• LCM of 909, 840, 794, 501, 686
• LCM of 622, 353, 412, 961, 866
• LCM of 948, 951, 870, 416, 614
• LCM of 807, 540, 404, 341, 876

1. What is the LCM of 920, 782, 737, 114, 952?

Answer: LCM of 920, 782, 737, 114, 952 is 4599145320.

2. How to calculate the LCM of 920, 782, 737, 114, 952?

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 920, 782, 737, 114, 952.

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}.