Given numbers are 401,601,746,306

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

The LCM of 401,601,746,306 is 27507372138.

Find LCM of 401,601,746,306 with Prime Factorization

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

2 x 401 x 601 x 373 x 153 = 27507372138

Therefore, the lowest common multiple of 401,601,746,306 is 27507372138.

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.

401 x 601 x 746 x 306 = 55014744276

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.

401 : 1, 401

601 : 1, 601

746 : 1, 2, 373, 746

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,601,746,306, is 1.

Now, the common factors can be found like this.

401:401

601:601

746:2x 373

306:2x 3x 3x 17

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

2 = 2

Therefore, the value for common factors is 2.

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 = 55014744276/(1x2)

LCM = 55014744276/2

LCM = 27507372138

Thus, we can understand that the LCM of 401,601,746,306 is 27507372138.

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

• LCM of 593, 421, 700, 153
• LCM of 890, 300, 501, 827
• LCM of 488, 390, 590, 921
• LCM of 121, 351, 465, 416
• LCM of 144, 431, 604, 131

1. What is the LCM of 401, 601, 746, 306?

Answer: LCM of 401, 601, 746, 306 is 27507372138.

2. How to calculate the LCM of 401, 601, 746, 306?

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 401, 601, 746, 306.

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}.