Given numbers are 840,121,318,892

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

The LCM of 840,121,318,892 is 1201283160.

Find LCM of 840,121,318,892 with Prime Factorization

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

2 x 2 x 3 x 70 x 121 x 53 x 223 = 1201283160

Therefore, the lowest common multiple of 840,121,318,892 is 1201283160.

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.

840 x 121 x 318 x 892 = 28830795840

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

121 : 1, 11, 121

318 : 1, 2, 3, 6, 53, 106, 159, 318

892 : 1, 2, 4, 223, 446, 892

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,121,318,892, is 1.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

121:11x 11

318:2x 3x 53

892:2x 2x 223

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 3 = 24

Therefore, the value for common factors is 24.

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 = 28830795840/(1x24)

LCM = 28830795840/24

LCM = 1201283160

Thus, we can understand that the LCM of 840,121,318,892 is 1201283160.

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

• LCM of 226, 293, 522, 110
• LCM of 654, 773, 538, 319
• LCM of 215, 731, 684, 828
• LCM of 301, 522, 398, 770
• LCM of 434, 988, 731, 387

1. What is the LCM of 840, 121, 318, 892?

Answer: LCM of 840, 121, 318, 892 is 1201283160.

2. How to calculate the LCM of 840, 121, 318, 892?

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 840, 121, 318, 892.

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}.