Given numbers are 908,269,315,269

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

The LCM of 908,269,315,269 is 76939380.

Find LCM of 908,269,315,269 with Prime Factorization

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

269 x 908 x 1 x 315 x 1 = 76939380

Therefore, the lowest common multiple of 908,269,315,269 is 76939380.

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.

908 x 269 x 315 x 269 = 20696693220

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.

908 : 1, 2, 4, 227, 454, 908

269 : 1, 269

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,269,315,269, is 1.

Now, the common factors can be found like this.

908:2x 2x 227

269:269

315:3x 3x 5x 7

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.

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 = 20696693220/(1x269)

LCM = 20696693220/269

LCM = 76939380

Thus, we can understand that the LCM of 908,269,315,269 is 76939380.

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

• LCM of 998, 721, 280, 402
• LCM of 372, 647, 180, 684
• LCM of 101, 833, 585, 164
• LCM of 281, 572, 483, 429
• LCM of 386, 257, 914, 122

1. What is the LCM of 908, 269, 315, 269?

Answer: LCM of 908, 269, 315, 269 is 76939380.

2. How to calculate the LCM of 908, 269, 315, 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 908, 269, 315, 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}.