Given numbers are 590,971,532,114

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

The LCM of 590,971,532,114 is 457166220.

Find LCM of 590,971,532,114 with Prime Factorization

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

2 x 19 x 295 x 971 x 14 x 3 = 457166220

Therefore, the lowest common multiple of 590,971,532,114 is 457166220.

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.

590 x 971 x 532 x 114 = 34744632720

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.

590 : 1, 2, 5, 10, 59, 118, 295, 590

971 : 1, 971

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,971,532,114, is 1.

Now, the common factors can be found like this.

590:2x 5x 59

971:971

532:2x 2x 7x 19

114:2x 3x 19

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 19 = 76

Therefore, the value for common factors is 76.

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 = 34744632720/(1x76)

LCM = 34744632720/76

LCM = 457166220

Thus, we can understand that the LCM of 590,971,532,114 is 457166220.

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

• LCM of 395, 567, 902, 754
• LCM of 729, 873, 516, 530
• LCM of 725, 773, 559, 756
• LCM of 650, 749, 989, 394
• LCM of 538, 496, 562, 564

1. What is the LCM of 590, 971, 532, 114?

Answer: LCM of 590, 971, 532, 114 is 457166220.

2. How to calculate the LCM of 590, 971, 532, 114?

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 590, 971, 532, 114.

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}.