Given numbers are 749,406,112,135

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

The LCM of 749,406,112,135 is 46917360.

Find LCM of 749,406,112,135 with Prime Factorization

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

2 x 7 x 107 x 29 x 8 x 135 = 46917360

Therefore, the lowest common multiple of 749,406,112,135 is 46917360.

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.

749 x 406 x 112 x 135 = 4597901280

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.

749 : 1, 7, 107, 749

406 : 1, 2, 7, 14, 29, 58, 203, 406

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

135 : 1, 3, 5, 9, 15, 27, 45, 135

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,406,112,135, is 1.

Now, the common factors can be found like this.

749:7x 107

406:2x 7x 29

112:2x 2x 2x 2x 7

135:3x 3x 3x 5

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

2x 7x 7 = 98

Therefore, the value for common factors is 98.

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 = 4597901280/(1x98)

LCM = 4597901280/98

LCM = 46917360

Thus, we can understand that the LCM of 749,406,112,135 is 46917360.

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

• LCM of 295, 375, 144, 774
• LCM of 427, 861, 369, 482
• LCM of 984, 282, 644, 489
• LCM of 573, 213, 827, 406
• LCM of 880, 371, 116, 625

1. What is the LCM of 749, 406, 112, 135?

Answer: LCM of 749, 406, 112, 135 is 46917360.

2. How to calculate the LCM of 749, 406, 112, 135?

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 749, 406, 112, 135.

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}.