Given numbers are 758,414,262,262

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

The LCM of 758,414,262,262 is 20554686.

Find LCM of 758,414,262,262 with Prime Factorization

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

2 x 131 x 379 x 207 x 1 x 1 = 20554686

Therefore, the lowest common multiple of 758,414,262,262 is 20554686.

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.

758 x 414 x 262 x 262 = 21541310928

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.

758 : 1, 2, 379, 758

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

262 : 1, 2, 131, 262

262 : 1, 2, 131, 262

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,414,262,262, is 2.

Now, the common factors can be found like this.

758:2x 379

414:2x 3x 3x 23

262:2x 131

262:2x 131

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 131 = 524

Therefore, the value for common factors is 524.

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 = 21541310928/(2x524)

LCM = 21541310928/1048

LCM = 20554686

Thus, we can understand that the LCM of 758,414,262,262 is 20554686.

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

• LCM of 147, 486, 553, 850
• LCM of 821, 945, 287, 664
• LCM of 374, 610, 656, 920
• LCM of 536, 321, 865, 637
• LCM of 325, 673, 222, 480

1. What is the LCM of 758, 414, 262, 262?

Answer: LCM of 758, 414, 262, 262 is 20554686.

2. How to calculate the LCM of 758, 414, 262, 262?

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 758, 414, 262, 262.

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}.