Given numbers are 301,749,436,138

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

The LCM of 301,749,436,138 is 968915388.

Find LCM of 301,749,436,138 with Prime Factorization

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

2 x 7 x 43 x 107 x 218 x 69 = 968915388

Therefore, the lowest common multiple of 301,749,436,138 is 968915388.

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.

301 x 749 x 436 x 138 = 13564815432

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.

301 : 1, 7, 43, 301

749 : 1, 7, 107, 749

436 : 1, 2, 4, 109, 218, 436

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,749,436,138, is 1.

Now, the common factors can be found like this.

301:7x 43

749:7x 107

436:2x 2x 109

138:2x 3x 23

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 13564815432/(1x14)

LCM = 13564815432/14

LCM = 968915388

Thus, we can understand that the LCM of 301,749,436,138 is 968915388.

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

• LCM of 646, 692, 374, 408
• LCM of 765, 685, 995, 344
• LCM of 925, 530, 789, 488
• LCM of 619, 731, 939, 498
• LCM of 317, 712, 692, 955

1. What is the LCM of 301, 749, 436, 138?

Answer: LCM of 301, 749, 436, 138 is 968915388.

2. How to calculate the LCM of 301, 749, 436, 138?

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 301, 749, 436, 138.

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}.