Given numbers are 721,493,121,749

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

The LCM of 721,493,121,749 is 4602049991.

Find LCM of 721,493,121,749 with Prime Factorization

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

7 x 103 x 493 x 121 x 107 = 4602049991

Therefore, the lowest common multiple of 721,493,121,749 is 4602049991.

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.

721 x 493 x 121 x 749 = 32214349937

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.

721 : 1, 7, 103, 721

493 : 1, 17, 29, 493

121 : 1, 11, 121

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,493,121,749, is 1.

Now, the common factors can be found like this.

721:7x 103

493:17x 29

121:11x 11

749:7x 107

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

7 = 7

Therefore, the value for common factors is 7.

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 = 32214349937/(1x7)

LCM = 32214349937/7

LCM = 4602049991

Thus, we can understand that the LCM of 721,493,121,749 is 4602049991.

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

• LCM of 124, 524, 665, 363
• LCM of 480, 491, 405, 699
• LCM of 789, 571, 826, 314
• LCM of 815, 331, 530, 174
• LCM of 648, 736, 527, 476

1. What is the LCM of 721, 493, 121, 749?

Answer: LCM of 721, 493, 121, 749 is 4602049991.

2. How to calculate the LCM of 721, 493, 121, 749?

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 721, 493, 121, 749.

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}.