Given numbers are 491,688,431,946

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

The LCM of 491,688,431,946 is 1601547728.

Find LCM of 491,688,431,946 with Prime Factorization

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

2 x 43 x 491 x 8 x 431 x 11 = 1601547728

Therefore, the lowest common multiple of 491,688,431,946 is 1601547728.

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.

491 x 688 x 431 x 946 = 137733104608

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.

491 : 1, 491

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

431 : 1, 431

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,688,431,946, is 1.

Now, the common factors can be found like this.

491:491

688:2x 2x 2x 2x 43

431:431

946:2x 11x 43

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

2x 43 = 86

Therefore, the value for common factors is 86.

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 = 137733104608/(1x86)

LCM = 137733104608/86

LCM = 1601547728

Thus, we can understand that the LCM of 491,688,431,946 is 1601547728.

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

• LCM of 604, 711, 405, 594
• LCM of 132, 343, 760, 444
• LCM of 646, 750, 263, 899
• LCM of 793, 899, 292, 997
• LCM of 196, 504, 577, 291

1. What is the LCM of 491, 688, 431, 946?

Answer: LCM of 491, 688, 431, 946 is 1601547728.

2. How to calculate the LCM of 491, 688, 431, 946?

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 491, 688, 431, 946.

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}.