Given numbers are 894,506,499,268,354

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

The LCM of 894,506,499,268,354 is 892309251108.

Find LCM of 894,506,499,268,354 with Prime Factorization

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

2 x 3 x 149 x 253 x 499 x 134 x 59 = 892309251108

Therefore, the lowest common multiple of 894,506,499,268,354 is 892309251108.

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.

894 x 506 x 499 x 268 x 354 = 21415422026592

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.

894 : 1, 2, 3, 6, 149, 298, 447, 894

506 : 1, 2, 11, 22, 23, 46, 253, 506

499 : 1, 499

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,506,499,268,354, is 1.

Now, the common factors can be found like this.

894:2x 3x 149

506:2x 11x 23

499:499

268:2x 2x 67

354:2x 3x 59

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 = 21415422026592/(1x24)

LCM = 21415422026592/24

LCM = 892309251108

Thus, we can understand that the LCM of 894,506,499,268,354 is 892309251108.

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

• LCM of 133, 503, 621, 634, 230
• LCM of 841, 782, 990, 494, 546
• LCM of 628, 918, 371, 265, 491
• LCM of 708, 389, 402, 388, 537
• LCM of 920, 193, 796, 528, 225

1. What is the LCM of 894, 506, 499, 268, 354?

Answer: LCM of 894, 506, 499, 268, 354 is 892309251108.

2. How to calculate the LCM of 894, 506, 499, 268, 354?

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 894, 506, 499, 268, 354.

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}.