Given numbers are 491,323,323,782

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

The LCM of 491,323,323,782 is 7295278.

Find LCM of 491,323,323,782 with Prime Factorization

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

17 x 19 x 491 x 1 x 1 x 46 = 7295278

Therefore, the lowest common multiple of 491,323,323,782 is 7295278.

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 323 x 323 x 782 = 40058371498

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

323 : 1, 17, 19, 323

323 : 1, 17, 19, 323

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,323,323,782, is 1.

Now, the common factors can be found like this.

491:491

323:17x 19

323:17x 19

782:2x 17x 23

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

17x 17x 19 = 5491

Therefore, the value for common factors is 5491.

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 = 40058371498/(1x5491)

LCM = 40058371498/5491

LCM = 7295278

Thus, we can understand that the LCM of 491,323,323,782 is 7295278.

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

• LCM of 544, 309, 303, 127
• LCM of 437, 478, 679, 953
• LCM of 196, 958, 129, 338
• LCM of 542, 812, 799, 267
• LCM of 462, 850, 792, 114

1. What is the LCM of 491, 323, 323, 782?

Answer: LCM of 491, 323, 323, 782 is 7295278.

2. How to calculate the LCM of 491, 323, 323, 782?

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, 323, 323, 782.

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}.