Given numbers are 491,749,343

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

The LCM of 491,749,343 is 18020191.

Find LCM of 491,749,343 with Prime Factorization

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

7 x 491 x 107 x 49 = 18020191

Therefore, the lowest common multiple of 491,749,343 is 18020191.

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 749 x 343 = 126141337

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

749 : 1, 7, 107, 749

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,749,343, is 1.

Now, the common factors can be found like this.

491:491

749:7x 107

343:7x 7x 7

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 = 126141337/(1x7)

LCM = 126141337/7

LCM = 18020191

Thus, we can understand that the LCM of 491,749,343 is 18020191.

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

• LCM of 897, 205, 710
• LCM of 811, 407, 376
• LCM of 978, 955, 388
• LCM of 373, 227, 719
• LCM of 945, 190, 674

1. What is the LCM of 491, 749, 343?

Answer: LCM of 491, 749, 343 is 18020191.

2. How to calculate the LCM of 491, 749, 343?

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, 749, 343.

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}.