Given numbers are 254,304,267,524

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

The LCM of 254,304,267,524 is 1350392016.

Find LCM of 254,304,267,524 with Prime Factorization

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

2 x 2 x 127 x 76 x 267 x 131 = 1350392016

Therefore, the lowest common multiple of 254,304,267,524 is 1350392016.

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.

254 x 304 x 267 x 524 = 10803136128

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.

254 : 1, 2, 127, 254

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

267 : 1, 3, 89, 267

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,304,267,524, is 1.

Now, the common factors can be found like this.

254:2x 127

304:2x 2x 2x 2x 19

267:3x 89

524:2x 2x 131

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 2 = 8

Therefore, the value for common factors is 8.

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 = 10803136128/(1x8)

LCM = 10803136128/8

LCM = 1350392016

Thus, we can understand that the LCM of 254,304,267,524 is 1350392016.

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

• LCM of 194, 320, 907, 415
• LCM of 581, 204, 988, 490
• LCM of 655, 174, 554, 380
• LCM of 668, 904, 112, 982
• LCM of 995, 578, 154, 535

1. What is the LCM of 254, 304, 267, 524?

Answer: LCM of 254, 304, 267, 524 is 1350392016.

2. How to calculate the LCM of 254, 304, 267, 524?

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 254, 304, 267, 524.

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}.