Given numbers are 295,524,341,338

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

The LCM of 295,524,341,338 is 8908290820.

Find LCM of 295,524,341,338 with Prime Factorization

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

2 x 295 x 262 x 341 x 169 = 8908290820

Therefore, the lowest common multiple of 295,524,341,338 is 8908290820.

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.

295 x 524 x 341 x 338 = 17816581640

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.

295 : 1, 5, 59, 295

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

341 : 1, 11, 31, 341

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 295,524,341,338, is 1.

Now, the common factors can be found like this.

295:5x 59

524:2x 2x 131

341:11x 31

338:2x 13x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 17816581640/(1x2)

LCM = 17816581640/2

LCM = 8908290820

Thus, we can understand that the LCM of 295,524,341,338 is 8908290820.

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

• LCM of 245, 614, 599, 971
• LCM of 159, 965, 570, 411
• LCM of 562, 653, 678, 448
• LCM of 864, 834, 860, 401
• LCM of 357, 984, 488, 142

1. What is the LCM of 295, 524, 341, 338?

Answer: LCM of 295, 524, 341, 338 is 8908290820.

2. How to calculate the LCM of 295, 524, 341, 338?

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 295, 524, 341, 338.

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}.