Given numbers are 342,969,841,577,507

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

The LCM of 342,969,841,577,507 is 476797029462.

Find LCM of 342,969,841,577,507 with Prime Factorization

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

3 x 19 x 6 x 17 x 841 x 577 x 169 = 476797029462

Therefore, the lowest common multiple of 342,969,841,577,507 is 476797029462.

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.

342 x 969 x 841 x 577 x 507 = 81532292038002

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

969 : 1, 3, 17, 19, 51, 57, 323, 969

841 : 1, 29, 841

577 : 1, 577

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,969,841,577,507, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

969:3x 17x 19

841:29x 29

577:577

507:3x 13x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 19 = 171

Therefore, the value for common factors is 171.

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 = 81532292038002/(1x171)

LCM = 81532292038002/171

LCM = 476797029462

Thus, we can understand that the LCM of 342,969,841,577,507 is 476797029462.

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

• LCM of 522, 439, 516, 892, 942
• LCM of 357, 444, 819, 930, 978
• LCM of 618, 887, 218, 521, 740
• LCM of 970, 749, 845, 887, 653
• LCM of 994, 665, 496, 243, 554

1. What is the LCM of 342, 969, 841, 577, 507?

Answer: LCM of 342, 969, 841, 577, 507 is 476797029462.

2. How to calculate the LCM of 342, 969, 841, 577, 507?

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 342, 969, 841, 577, 507.

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}.