Given numbers are 764,602,401,114

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

The LCM of 764,602,401,114 is 5256287148.

Find LCM of 764,602,401,114 with Prime Factorization

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

2 x 382 x 301 x 401 x 57 = 5256287148

Therefore, the lowest common multiple of 764,602,401,114 is 5256287148.

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.

764 x 602 x 401 x 114 = 21025148592

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.

764 : 1, 2, 4, 191, 382, 764

602 : 1, 2, 7, 14, 43, 86, 301, 602

401 : 1, 401

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,602,401,114, is 1.

Now, the common factors can be found like this.

764:2x 2x 191

602:2x 7x 43

401:401

114:2x 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 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 = 21025148592/(1x4)

LCM = 21025148592/4

LCM = 5256287148

Thus, we can understand that the LCM of 764,602,401,114 is 5256287148.

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

• LCM of 948, 261, 223, 679
• LCM of 171, 208, 148, 547
• LCM of 648, 932, 522, 483
• LCM of 603, 904, 397, 687
• LCM of 381, 388, 277, 823

1. What is the LCM of 764, 602, 401, 114?

Answer: LCM of 764, 602, 401, 114 is 5256287148.

2. How to calculate the LCM of 764, 602, 401, 114?

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 764, 602, 401, 114.

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}.