Given numbers are 746,614,219,548

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

The LCM of 746,614,219,548 is 13742694132.

Find LCM of 746,614,219,548 with Prime Factorization

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

2 x 373 x 307 x 219 x 274 = 13742694132

Therefore, the lowest common multiple of 746,614,219,548 is 13742694132.

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 614 x 219 x 548 = 54970776528

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

614 : 1, 2, 307, 614

219 : 1, 3, 73, 219

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,614,219,548, is 1.

Now, the common factors can be found like this.

746:2x 373

614:2x 307

219:3x 73

548:2x 2x 137

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 = 54970776528/(1x4)

LCM = 54970776528/4

LCM = 13742694132

Thus, we can understand that the LCM of 746,614,219,548 is 13742694132.

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

• LCM of 730, 323, 662, 314
• LCM of 432, 596, 390, 626
• LCM of 200, 269, 996, 203
• LCM of 179, 542, 157, 139
• LCM of 213, 277, 643, 578

1. What is the LCM of 746, 614, 219, 548?

Answer: LCM of 746, 614, 219, 548 is 13742694132.

2. How to calculate the LCM of 746, 614, 219, 548?

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, 614, 219, 548.

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}.