Given numbers are 894,642,535,628,684

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

The LCM of 894,642,535,628,684 is 8560434420.

Find LCM of 894,642,535,628,684 with Prime Factorization

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

2 x 2 x 3 x 107 x 149 x 1 x 5 x 157 x 57 = 8560434420

Therefore, the lowest common multiple of 894,642,535,628,684 is 8560434420.

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 642 x 535 x 628 x 684 = 131899173543360

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

535 : 1, 5, 107, 535

628 : 1, 2, 4, 157, 314, 628

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,642,535,628,684, is 1.

Now, the common factors can be found like this.

894:2x 3x 149

642:2x 3x 107

535:5x 107

628:2x 2x 157

684:2x 2x 3x 3x 19

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 3x 107 = 15408

Therefore, the value for common factors is 15408.

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 = 131899173543360/(1x15408)

LCM = 131899173543360/15408

LCM = 8560434420

Thus, we can understand that the LCM of 894,642,535,628,684 is 8560434420.

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

• LCM of 225, 366, 859, 859, 813
• LCM of 534, 402, 442, 771, 640
• LCM of 155, 150, 860, 309, 619
• LCM of 236, 823, 875, 253, 253
• LCM of 565, 354, 410, 865, 123

1. What is the LCM of 894, 642, 535, 628, 684?

Answer: LCM of 894, 642, 535, 628, 684 is 8560434420.

2. How to calculate the LCM of 894, 642, 535, 628, 684?

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, 642, 535, 628, 684.

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}.