Given numbers are 920,425,456,924,974

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

The LCM of 920,425,456,924,974 is 167148042600.

Find LCM of 920,425,456,924,974 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 23 x 85 x 19 x 77 x 487 = 167148042600

Therefore, the lowest common multiple of 920,425,456,924,974 is 167148042600.

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 425 x 456 x 924 x 974 = 160462120896000

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

425 : 1, 5, 17, 25, 85, 425

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,425,456,924,974, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

425:5x 5x 17

456:2x 2x 2x 3x 19

924:2x 2x 3x 7x 11

974:2x 487

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 5 = 960

Therefore, the value for common factors is 960.

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 = 160462120896000/(1x960)

LCM = 160462120896000/960

LCM = 167148042600

Thus, we can understand that the LCM of 920,425,456,924,974 is 167148042600.

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

• LCM of 798, 111, 817, 328, 908
• LCM of 647, 149, 387, 386, 215
• LCM of 235, 364, 218, 660, 104
• LCM of 940, 921, 707, 481, 658
• LCM of 735, 357, 214, 461, 929

1. What is the LCM of 920, 425, 456, 924, 974?

Answer: LCM of 920, 425, 456, 924, 974 is 167148042600.

2. How to calculate the LCM of 920, 425, 456, 924, 974?

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, 425, 456, 924, 974.

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}.