Given numbers are 480,746,746

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

The LCM of 480,746,746 is 179040.

Find LCM of 480,746,746 with Prime Factorization

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

2 x 373 x 240 x 1 x 1 = 179040

Therefore, the lowest common multiple of 480,746,746 is 179040.

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.

480 x 746 x 746 = 267127680

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

746 : 1, 2, 373, 746

746 : 1, 2, 373, 746

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,746,746, is 2.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

746:2x 373

746:2x 373

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

2x 373 = 746

Therefore, the value for common factors is 746.

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 = 267127680/(2x746)

LCM = 267127680/1492

LCM = 179040

Thus, we can understand that the LCM of 480,746,746 is 179040.

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

• LCM of 167, 575, 446
• LCM of 866, 446, 117
• LCM of 108, 228, 916
• LCM of 597, 601, 127
• LCM of 912, 525, 973

1. What is the LCM of 480, 746, 746?

Answer: LCM of 480, 746, 746 is 179040.

2. How to calculate the LCM of 480, 746, 746?

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 480, 746, 746.

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}.