Given numbers are 746,506,449

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

The LCM of 746,506,449 is 84743362.

Find LCM of 746,506,449 with Prime Factorization

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

2 x 373 x 253 x 449 = 84743362

Therefore, the lowest common multiple of 746,506,449 is 84743362.

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 506 x 449 = 169486724

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

449 : 1, 449

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,506,449, is 1.

Now, the common factors can be found like this.

746:2x 373

506:2x 11x 23

449:449

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 = 169486724/(1x2)

LCM = 169486724/2

LCM = 84743362

Thus, we can understand that the LCM of 746,506,449 is 84743362.

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

• LCM of 984, 688, 820
• LCM of 417, 544, 122
• LCM of 753, 948, 917
• LCM of 110, 135, 923
• LCM of 795, 950, 609

1. What is the LCM of 746, 506, 449?

Answer: LCM of 746, 506, 449 is 84743362.

2. How to calculate the LCM of 746, 506, 449?

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, 506, 449.

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}.