Given numbers are 513,269,269,419

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

The LCM of 513,269,269,419 is 57820743.

Find LCM of 513,269,269,419 with Prime Factorization

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

269 x 513 x 1 x 1 x 419 = 57820743

Therefore, the lowest common multiple of 513,269,269,419 is 57820743.

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 269 x 269 x 419 = 15553779867

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

269 : 1, 269

269 : 1, 269

419 : 1, 419

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,269,269,419, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

269:269

269:269

419:419

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

269 = 269

Therefore, the value for common factors is 269.

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 = 15553779867/(1x269)

LCM = 15553779867/269

LCM = 57820743

Thus, we can understand that the LCM of 513,269,269,419 is 57820743.

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

• LCM of 593, 773, 711, 703
• LCM of 298, 250, 322, 179
• LCM of 202, 947, 833, 102
• LCM of 994, 301, 269, 730
• LCM of 339, 559, 967, 433

1. What is the LCM of 513, 269, 269, 419?

Answer: LCM of 513, 269, 269, 419 is 57820743.

2. How to calculate the LCM of 513, 269, 269, 419?

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, 269, 269, 419.

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}.