Given numbers are 746,426,986,949

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

The LCM of 746,426,986,949 is 74341541586.

Find LCM of 746,426,986,949 with Prime Factorization

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

2 x 373 x 213 x 493 x 949 = 74341541586

Therefore, the lowest common multiple of 746,426,986,949 is 74341541586.

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.

746 x 426 x 986 x 949 = 297366166344

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.

746 : 1, 2, 373, 746

426 : 1, 2, 3, 6, 71, 142, 213, 426

986 : 1, 2, 17, 29, 34, 58, 493, 986

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,426,986,949, is 1.

Now, the common factors can be found like this.

746:2x 373

426:2x 3x 71

986:2x 17x 29

949:13x 73

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 297366166344/(1x4)

LCM = 297366166344/4

LCM = 74341541586

Thus, we can understand that the LCM of 746,426,986,949 is 74341541586.

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

• LCM of 341, 733, 106, 317
• LCM of 238, 844, 346, 895
• LCM of 904, 749, 555, 870
• LCM of 508, 742, 306, 694
• LCM of 245, 150, 359, 204

1. What is the LCM of 746, 426, 986, 949?

Answer: LCM of 746, 426, 986, 949 is 74341541586.

2. How to calculate the LCM of 746, 426, 986, 949?

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 746, 426, 986, 949.

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}.