Given numbers are 744,746,338

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

The LCM of 744,746,338 is 46899528.

Find LCM of 744,746,338 with Prime Factorization

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

2 x 372 x 373 x 169 = 46899528

Therefore, the lowest common multiple of 744,746,338 is 46899528.

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.

744 x 746 x 338 = 187598112

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.

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

746 : 1, 2, 373, 746

338 : 1, 2, 13, 26, 169, 338

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,746,338, is 2.

Now, the common factors can be found like this.

744:2x 2x 2x 3x 31

746:2x 373

338:2x 13x 13

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 = 187598112/(2x2)

LCM = 187598112/4

LCM = 46899528

Thus, we can understand that the LCM of 744,746,338 is 46899528.

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

• LCM of 284, 515, 894
• LCM of 978, 522, 290
• LCM of 701, 336, 518
• LCM of 149, 457, 541
• LCM of 417, 771, 277

1. What is the LCM of 744, 746, 338?

Answer: LCM of 744, 746, 338 is 46899528.

2. How to calculate the LCM of 744, 746, 338?

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 744, 746, 338.

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}.