Given numbers are 748,731,761,493

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

The LCM of 748,731,761,493 is 709827316.

Find LCM of 748,731,761,493 with Prime Factorization

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

17 x 44 x 43 x 761 x 29 = 709827316

Therefore, the lowest common multiple of 748,731,761,493 is 709827316.

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.

748 x 731 x 761 x 493 = 205140094324

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

731 : 1, 17, 43, 731

761 : 1, 761

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,731,761,493, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

731:17x 43

761:761

493:17x 29

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

17x 17 = 289

Therefore, the value for common factors is 289.

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 = 205140094324/(1x289)

LCM = 205140094324/289

LCM = 709827316

Thus, we can understand that the LCM of 748,731,761,493 is 709827316.

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

• LCM of 605, 266, 301, 154
• LCM of 175, 440, 688, 429
• LCM of 430, 688, 740, 675
• LCM of 131, 368, 527, 298
• LCM of 518, 815, 879, 273

1. What is the LCM of 748, 731, 761, 493?

Answer: LCM of 748, 731, 761, 493 is 709827316.

2. How to calculate the LCM of 748, 731, 761, 493?

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 748, 731, 761, 493.

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}.