Given numbers are 802,100,642,771

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

The LCM of 802,100,642,771 is 3308129700.

Find LCM of 802,100,642,771 with Prime Factorization

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

2 x 3 x 401 x 50 x 107 x 257 = 3308129700

Therefore, the lowest common multiple of 802,100,642,771 is 3308129700.

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.

802 x 100 x 642 x 771 = 39697556400

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.

802 : 1, 2, 401, 802

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

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

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,100,642,771, is 1.

Now, the common factors can be found like this.

802:2x 401

100:2x 2x 5x 5

642:2x 3x 107

771:3x 257

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 3 = 12

Therefore, the value for common factors is 12.

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 = 39697556400/(1x12)

LCM = 39697556400/12

LCM = 3308129700

Thus, we can understand that the LCM of 802,100,642,771 is 3308129700.

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

• LCM of 383, 432, 499, 531
• LCM of 321, 934, 639, 835
• LCM of 487, 797, 142, 879
• LCM of 520, 549, 616, 325
• LCM of 545, 456, 605, 847

1. What is the LCM of 802, 100, 642, 771?

Answer: LCM of 802, 100, 642, 771 is 3308129700.

2. How to calculate the LCM of 802, 100, 642, 771?

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 802, 100, 642, 771.

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}.