Given numbers are 253,316,598,414,269

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

The LCM of 253,316,598,414,269 is 2516203404.

Find LCM of 253,316,598,414,269 with Prime Factorization

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

2 x 23 x 11 x 158 x 13 x 9 x 269 = 2516203404

Therefore, the lowest common multiple of 253,316,598,414,269 is 2516203404.

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.

253 x 316 x 598 x 414 x 269 = 5324286402864

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.

253 : 1, 11, 23, 253

316 : 1, 2, 4, 79, 158, 316

598 : 1, 2, 13, 23, 26, 46, 299, 598

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,316,598,414,269, is 1.

Now, the common factors can be found like this.

253:11x 23

316:2x 2x 79

598:2x 13x 23

414:2x 3x 3x 23

269:269

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

2x 2x 23x 23 = 2116

Therefore, the value for common factors is 2116.

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 = 5324286402864/(1x2116)

LCM = 5324286402864/2116

LCM = 2516203404

Thus, we can understand that the LCM of 253,316,598,414,269 is 2516203404.

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

• LCM of 315, 955, 460, 760, 207
• LCM of 102, 364, 819, 507, 419
• LCM of 598, 650, 757, 602, 413
• LCM of 187, 181, 561, 733, 923
• LCM of 945, 211, 362, 739, 871

1. What is the LCM of 253, 316, 598, 414, 269?

Answer: LCM of 253, 316, 598, 414, 269 is 2516203404.

2. How to calculate the LCM of 253, 316, 598, 414, 269?

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 253, 316, 598, 414, 269.

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}.