Given numbers are 491,532,350,974

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

The LCM of 491,532,350,974 is 3180256100.

Find LCM of 491,532,350,974 with Prime Factorization

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

2 x 7 x 491 x 38 x 25 x 487 = 3180256100

Therefore, the lowest common multiple of 491,532,350,974 is 3180256100.

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.

491 x 532 x 350 x 974 = 89047170800

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.

491 : 1, 491

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

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,532,350,974, is 1.

Now, the common factors can be found like this.

491:491

532:2x 2x 7x 19

350:2x 5x 5x 7

974:2x 487

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 7 = 28

Therefore, the value for common factors is 28.

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 = 89047170800/(1x28)

LCM = 89047170800/28

LCM = 3180256100

Thus, we can understand that the LCM of 491,532,350,974 is 3180256100.

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

• LCM of 302, 344, 353, 274
• LCM of 836, 949, 413, 953
• LCM of 903, 561, 207, 765
• LCM of 740, 440, 940, 238
• LCM of 932, 918, 566, 526

1. What is the LCM of 491, 532, 350, 974?

Answer: LCM of 491, 532, 350, 974 is 3180256100.

2. How to calculate the LCM of 491, 532, 350, 974?

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 491, 532, 350, 974.

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}.