Given numbers are 513,458,326,683,748

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

The LCM of 513,458,326,683,748 is 9782790505884.

Find LCM of 513,458,326,683,748 with Prime Factorization

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

2 x 513 x 229 x 163 x 683 x 374 = 9782790505884

Therefore, the lowest common multiple of 513,458,326,683,748 is 9782790505884.

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.

513 x 458 x 326 x 683 x 748 = 39131162023536

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

458 : 1, 2, 229, 458

326 : 1, 2, 163, 326

683 : 1, 683

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,458,326,683,748, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

458:2x 229

326:2x 163

683:683

748:2x 2x 11x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 39131162023536/(1x4)

LCM = 39131162023536/4

LCM = 9782790505884

Thus, we can understand that the LCM of 513,458,326,683,748 is 9782790505884.

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

• LCM of 462, 338, 873, 519, 882
• LCM of 407, 239, 247, 932, 516
• LCM of 981, 126, 780, 142, 510
• LCM of 234, 535, 272, 220, 238
• LCM of 650, 503, 577, 907, 113

1. What is the LCM of 513, 458, 326, 683, 748?

Answer: LCM of 513, 458, 326, 683, 748 is 9782790505884.

2. How to calculate the LCM of 513, 458, 326, 683, 748?

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 513, 458, 326, 683, 748.

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}.