Given numbers are 480,610,759,427

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

The LCM of 480,610,759,427 is 51854880.

Find LCM of 480,610,759,427 with Prime Factorization

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

2 x 3 x 5 x 61 x 16 x 1 x 253 x 7 = 51854880

Therefore, the lowest common multiple of 480,610,759,427 is 51854880.

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 610 x 759 x 427 = 94894430400

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

610 : 1, 2, 5, 10, 61, 122, 305, 610

759 : 1, 3, 11, 23, 33, 69, 253, 759

427 : 1, 7, 61, 427

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,610,759,427, is 1.

Now, the common factors can be found like this.

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

610:2x 5x 61

759:3x 11x 23

427:7x 61

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

2x 3x 5x 61 = 1830

Therefore, the value for common factors is 1830.

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 = 94894430400/(1x1830)

LCM = 94894430400/1830

LCM = 51854880

Thus, we can understand that the LCM of 480,610,759,427 is 51854880.

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

• LCM of 560, 793, 819, 995
• LCM of 551, 101, 504, 171
• LCM of 579, 327, 123, 211
• LCM of 363, 161, 852, 443
• LCM of 165, 916, 152, 174

1. What is the LCM of 480, 610, 759, 427?

Answer: LCM of 480, 610, 759, 427 is 51854880.

2. How to calculate the LCM of 480, 610, 759, 427?

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, 610, 759, 427.

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}.