Given numbers are 749,706,353,849

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

The LCM of 749,706,353,849 is 448946106.

Find LCM of 749,706,353,849 with Prime Factorization

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

353 x 749 x 2 x 1 x 849 = 448946106

Therefore, the lowest common multiple of 749,706,353,849 is 448946106.

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 706 x 353 x 849 = 158477975418

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

706 : 1, 2, 353, 706

353 : 1, 353

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,706,353,849, is 1.

Now, the common factors can be found like this.

749:7x 107

706:2x 353

353:353

849:3x 283

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

353 = 353

Therefore, the value for common factors is 353.

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 = 158477975418/(1x353)

LCM = 158477975418/353

LCM = 448946106

Thus, we can understand that the LCM of 749,706,353,849 is 448946106.

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

• LCM of 670, 368, 613, 605
• LCM of 727, 322, 631, 646
• LCM of 740, 911, 734, 911
• LCM of 131, 596, 768, 934
• LCM of 493, 321, 556, 145

1. What is the LCM of 749, 706, 353, 849?

Answer: LCM of 749, 706, 353, 849 is 448946106.

2. How to calculate the LCM of 749, 706, 353, 849?

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, 706, 353, 849.

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}.