Given numbers are 534,210,759,360

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

The LCM of 534,210,759,360 is 56742840.

Find LCM of 534,210,759,360 with Prime Factorization

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

2 x 3 x 5 x 89 x 7 x 253 x 12 = 56742840

Therefore, the lowest common multiple of 534,210,759,360 is 56742840.

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.

534 x 210 x 759 x 360 = 30641133600

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.

534 : 1, 2, 3, 6, 89, 178, 267, 534

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,210,759,360, is 3.

Now, the common factors can be found like this.

534:2x 3x 89

210:2x 3x 5x 7

759:3x 11x 23

360:2x 2x 2x 3x 3x 5

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 = 30641133600/(3x180)

LCM = 30641133600/540

LCM = 56742840

Thus, we can understand that the LCM of 534,210,759,360 is 56742840.

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

• LCM of 722, 799, 749, 513
• LCM of 580, 956, 104, 212
• LCM of 643, 804, 247, 708
• LCM of 165, 253, 297, 467
• LCM of 901, 782, 384, 615

1. What is the LCM of 534, 210, 759, 360?

Answer: LCM of 534, 210, 759, 360 is 56742840.

2. How to calculate the LCM of 534, 210, 759, 360?

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 534, 210, 759, 360.

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}.