Given numbers are 749,287,749

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

The LCM of 749,287,749 is 30709.

Find LCM of 749,287,749 with Prime Factorization

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

7 x 107 x 1 x 41 x 1 = 30709

Therefore, the lowest common multiple of 749,287,749 is 30709.

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.

749 x 287 x 749 = 161007287

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.

749 : 1, 7, 107, 749

287 : 1, 7, 41, 287

749 : 1, 7, 107, 749

7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,287,749, is 7.

Now, the common factors can be found like this.

749:7x 107

287:7x 41

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.

7x 107 = 749

Therefore, the value for common factors is 749.

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 = 161007287/(7x749)

LCM = 161007287/5243

LCM = 30709

Thus, we can understand that the LCM of 749,287,749 is 30709.

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

• LCM of 202, 988, 574
• LCM of 332, 902, 345
• LCM of 483, 391, 652
• LCM of 983, 353, 162
• LCM of 475, 247, 123

1. What is the LCM of 749, 287, 749?

Answer: LCM of 749, 287, 749 is 30709.

2. How to calculate the LCM of 749, 287, 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 749, 287, 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}.