Given numbers are 767,972,292,361

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

The LCM of 767,972,292,361 is 19646793972.

Find LCM of 767,972,292,361 with Prime Factorization

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

2 x 2 x 767 x 243 x 73 x 361 = 19646793972

Therefore, the lowest common multiple of 767,972,292,361 is 19646793972.

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.

767 x 972 x 292 x 361 = 78587175888

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.

767 : 1, 13, 59, 767

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

292 : 1, 2, 4, 73, 146, 292

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,972,292,361, is 1.

Now, the common factors can be found like this.

767:13x 59

972:2x 2x 3x 3x 3x 3x 3

292:2x 2x 73

361:19x 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 = 78587175888/(1x4)

LCM = 78587175888/4

LCM = 19646793972

Thus, we can understand that the LCM of 767,972,292,361 is 19646793972.

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

• LCM of 310, 402, 748, 895
• LCM of 343, 886, 968, 119
• LCM of 208, 464, 267, 362
• LCM of 421, 657, 150, 748
• LCM of 321, 569, 203, 291

1. What is the LCM of 767, 972, 292, 361?

Answer: LCM of 767, 972, 292, 361 is 19646793972.

2. How to calculate the LCM of 767, 972, 292, 361?

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 767, 972, 292, 361.

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}.