Given numbers are 526,480,558,735

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

The LCM of 526,480,558,735 is 575275680.

Find LCM of 526,480,558,735 with Prime Factorization

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

2 x 3 x 5 x 263 x 16 x 93 x 49 = 575275680

Therefore, the lowest common multiple of 526,480,558,735 is 575275680.

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.

526 x 480 x 558 x 735 = 103549622400

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.

526 : 1, 2, 263, 526

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

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,480,558,735, is 1.

Now, the common factors can be found like this.

526:2x 263

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

558:2x 3x 3x 31

735:3x 5x 7x 7

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 103549622400/(1x180)

LCM = 103549622400/180

LCM = 575275680

Thus, we can understand that the LCM of 526,480,558,735 is 575275680.

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

• LCM of 634, 362, 682, 782
• LCM of 248, 557, 568, 914
• LCM of 684, 440, 119, 150
• LCM of 437, 989, 942, 363
• LCM of 333, 948, 924, 177

1. What is the LCM of 526, 480, 558, 735?

Answer: LCM of 526, 480, 558, 735 is 575275680.

2. How to calculate the LCM of 526, 480, 558, 735?

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 526, 480, 558, 735.

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}.