Given numbers are 278,307,322,276

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

The LCM of 278,307,322,276 is 82444236.

Find LCM of 278,307,322,276 with Prime Factorization

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

2 x 23 x 139 x 307 x 7 x 6 = 82444236

Therefore, the lowest common multiple of 278,307,322,276 is 82444236.

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.

278 x 307 x 322 x 276 = 7584869712

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.

278 : 1, 2, 139, 278

307 : 1, 307

322 : 1, 2, 7, 14, 23, 46, 161, 322

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,307,322,276, is 1.

Now, the common factors can be found like this.

278:2x 139

307:307

322:2x 7x 23

276:2x 2x 3x 23

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 23 = 92

Therefore, the value for common factors is 92.

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 = 7584869712/(1x92)

LCM = 7584869712/92

LCM = 82444236

Thus, we can understand that the LCM of 278,307,322,276 is 82444236.

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

• LCM of 197, 294, 427, 694
• LCM of 724, 945, 381, 380
• LCM of 877, 800, 609, 713
• LCM of 242, 177, 128, 358
• LCM of 876, 600, 153, 259

1. What is the LCM of 278, 307, 322, 276?

Answer: LCM of 278, 307, 322, 276 is 82444236.

2. How to calculate the LCM of 278, 307, 322, 276?

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 278, 307, 322, 276.

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}.