Given numbers are 920,487,828,560,940

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

The LCM of 920,487,828,560,940 is 2653292880.

Find LCM of 920,487,828,560,940 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 1 x 487 x 9 x 14 x 47 = 2653292880

Therefore, the lowest common multiple of 920,487,828,560,940 is 2653292880.

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 487 x 828 x 560 x 940 = 195282355968000

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

487 : 1, 487

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,487,828,560,940, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

487:487

828:2x 2x 3x 3x 23

560:2x 2x 2x 2x 5x 7

940:2x 2x 5x 47

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 2x 5x 5x 23 = 73600

Therefore, the value for common factors is 73600.

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 = 195282355968000/(1x73600)

LCM = 195282355968000/73600

LCM = 2653292880

Thus, we can understand that the LCM of 920,487,828,560,940 is 2653292880.

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

• LCM of 652, 172, 171, 782, 428
• LCM of 969, 968, 467, 688, 185
• LCM of 685, 340, 383, 931, 404
• LCM of 297, 577, 662, 175, 478
• LCM of 735, 387, 667, 271, 876

1. What is the LCM of 920, 487, 828, 560, 940?

Answer: LCM of 920, 487, 828, 560, 940 is 2653292880.

2. How to calculate the LCM of 920, 487, 828, 560, 940?

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, 487, 828, 560, 940.

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}.