Given numbers are 759,214,560

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

The LCM of 759,214,560 is 45479280.

Find LCM of 759,214,560 with Prime Factorization

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

2 x 759 x 107 x 280 = 45479280

Therefore, the lowest common multiple of 759,214,560 is 45479280.

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.

759 x 214 x 560 = 90958560

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.

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

214 : 1, 2, 107, 214

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,214,560, is 1.

Now, the common factors can be found like this.

759:3x 11x 23

214:2x 107

560:2x 2x 2x 2x 5x 7

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 = 90958560/(1x2)

LCM = 90958560/2

LCM = 45479280

Thus, we can understand that the LCM of 759,214,560 is 45479280.

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

• LCM of 252, 317, 587
• LCM of 208, 256, 973
• LCM of 178, 897, 634
• LCM of 960, 854, 523
• LCM of 322, 941, 109

1. What is the LCM of 759, 214, 560?

Answer: LCM of 759, 214, 560 is 45479280.

2. How to calculate the LCM of 759, 214, 560?

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 759, 214, 560.

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}.