Given numbers are 920,121,268,784,372

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

The LCM of 920,121,268,784,372 is 67976222160.

Find LCM of 920,121,268,784,372 with Prime Factorization

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

2 x 2 x 2 x 115 x 121 x 67 x 98 x 93 = 67976222160

Therefore, the lowest common multiple of 920,121,268,784,372 is 67976222160.

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 121 x 268 x 784 x 372 = 8700956436480

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

121 : 1, 11, 121

268 : 1, 2, 4, 67, 134, 268

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,121,268,784,372, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

121:11x 11

268:2x 2x 67

784:2x 2x 2x 2x 7x 7

372:2x 2x 3x 31

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 2 = 128

Therefore, the value for common factors is 128.

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 = 8700956436480/(1x128)

LCM = 8700956436480/128

LCM = 67976222160

Thus, we can understand that the LCM of 920,121,268,784,372 is 67976222160.

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

• LCM of 715, 343, 317, 185, 507
• LCM of 956, 715, 244, 250, 751
• LCM of 118, 947, 486, 789, 267
• LCM of 321, 735, 330, 595, 238
• LCM of 806, 970, 659, 489, 397

1. What is the LCM of 920, 121, 268, 784, 372?

Answer: LCM of 920, 121, 268, 784, 372 is 67976222160.

2. How to calculate the LCM of 920, 121, 268, 784, 372?

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, 121, 268, 784, 372.

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}.