Given numbers are 676,480,292,484

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

The LCM of 676,480,292,484 is 716532960.

Find LCM of 676,480,292,484 with Prime Factorization

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

2 x 2 x 169 x 120 x 73 x 121 = 716532960

Therefore, the lowest common multiple of 676,480,292,484 is 716532960.

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.

676 x 480 x 292 x 484 = 45858109440

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

292 : 1, 2, 4, 73, 146, 292

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,480,292,484, is 4.

Now, the common factors can be found like this.

676:2x 2x 13x 13

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

292:2x 2x 73

484:2x 2x 11x 11

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

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 45858109440/(4x16)

LCM = 45858109440/64

LCM = 716532960

Thus, we can understand that the LCM of 676,480,292,484 is 716532960.

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

• LCM of 373, 110, 656, 899
• LCM of 656, 984, 223, 432
• LCM of 160, 292, 411, 563
• LCM of 487, 814, 622, 159
• LCM of 752, 903, 443, 159

1. What is the LCM of 676, 480, 292, 484?

Answer: LCM of 676, 480, 292, 484 is 716532960.

2. How to calculate the LCM of 676, 480, 292, 484?

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 676, 480, 292, 484.

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}.