Given numbers are 345,295,253,292

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

The LCM of 345,295,253,292 is 65380260.

Find LCM of 345,295,253,292 with Prime Factorization

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

5 x 23 x 3 x 59 x 11 x 292 = 65380260

Therefore, the lowest common multiple of 345,295,253,292 is 65380260.

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.

345 x 295 x 253 x 292 = 7518729900

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

295 : 1, 5, 59, 295

253 : 1, 11, 23, 253

292 : 1, 2, 4, 73, 146, 292

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,295,253,292, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

295:5x 59

253:11x 23

292:2x 2x 73

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

5x 23 = 115

Therefore, the value for common factors is 115.

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 = 7518729900/(1x115)

LCM = 7518729900/115

LCM = 65380260

Thus, we can understand that the LCM of 345,295,253,292 is 65380260.

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

• LCM of 345, 701, 263, 672
• LCM of 390, 807, 693, 662
• LCM of 568, 723, 317, 699
• LCM of 340, 896, 960, 933
• LCM of 401, 892, 464, 604

1. What is the LCM of 345, 295, 253, 292?

Answer: LCM of 345, 295, 253, 292 is 65380260.

2. How to calculate the LCM of 345, 295, 253, 292?

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 345, 295, 253, 292.

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}.