Given numbers are 364,894,134,540,381

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

The LCM of 364,894,134,540,381 is 62301706740.

Find LCM of 364,894,134,540,381 with Prime Factorization

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

2 x 2 x 3 x 91 x 149 x 67 x 45 x 127 = 62301706740

Therefore, the lowest common multiple of 364,894,134,540,381 is 62301706740.

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.

364 x 894 x 134 x 540 x 381 = 8971445770560

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

134 : 1, 2, 67, 134

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,894,134,540,381, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

894:2x 3x 149

134:2x 67

540:2x 2x 3x 3x 3x 5

381:3x 127

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 8971445770560/(1x144)

LCM = 8971445770560/144

LCM = 62301706740

Thus, we can understand that the LCM of 364,894,134,540,381 is 62301706740.

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

• LCM of 636, 746, 955, 849, 332
• LCM of 585, 641, 349, 704, 496
• LCM of 480, 621, 786, 282, 680
• LCM of 499, 220, 751, 924, 442
• LCM of 812, 370, 656, 893, 621

1. What is the LCM of 364, 894, 134, 540, 381?

Answer: LCM of 364, 894, 134, 540, 381 is 62301706740.

2. How to calculate the LCM of 364, 894, 134, 540, 381?

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 364, 894, 134, 540, 381.

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}.