Given numbers are 802,421,412,762

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

The LCM of 802,421,412,762 is 26500170012.

Find LCM of 802,421,412,762 with Prime Factorization

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

2 x 401 x 421 x 206 x 381 = 26500170012

Therefore, the lowest common multiple of 802,421,412,762 is 26500170012.

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 421 x 412 x 762 = 106000680048

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

421 : 1, 421

412 : 1, 2, 4, 103, 206, 412

762 : 1, 2, 3, 6, 127, 254, 381, 762

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,421,412,762, is 1.

Now, the common factors can be found like this.

802:2x 401

421:421

412:2x 2x 103

762:2x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 106000680048/(1x4)

LCM = 106000680048/4

LCM = 26500170012

Thus, we can understand that the LCM of 802,421,412,762 is 26500170012.

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

• LCM of 473, 483, 261, 342
• LCM of 928, 876, 942, 851
• LCM of 137, 255, 262, 631
• LCM of 988, 271, 955, 885
• LCM of 889, 889, 775, 597

1. What is the LCM of 802, 421, 412, 762?

Answer: LCM of 802, 421, 412, 762 is 26500170012.

2. How to calculate the LCM of 802, 421, 412, 762?

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, 421, 412, 762.

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}.