Given numbers are 276,475,278,119,424

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

The LCM of 276,475,278,119,424 is 229863660600.

Find LCM of 276,475,278,119,424 with Prime Factorization

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

2 x 2 x 69 x 475 x 139 x 119 x 106 = 229863660600

Therefore, the lowest common multiple of 276,475,278,119,424 is 229863660600.

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.

276 x 475 x 278 x 119 x 424 = 1838909284800

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.

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

475 : 1, 5, 19, 25, 95, 475

278 : 1, 2, 139, 278

119 : 1, 7, 17, 119

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,475,278,119,424, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

475:5x 5x 19

278:2x 139

119:7x 17

424:2x 2x 2x 53

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 = 1838909284800/(1x8)

LCM = 1838909284800/8

LCM = 229863660600

Thus, we can understand that the LCM of 276,475,278,119,424 is 229863660600.

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

• LCM of 467, 297, 865, 548, 357
• LCM of 253, 367, 384, 465, 765
• LCM of 837, 556, 591, 281, 864
• LCM of 400, 877, 756, 833, 394
• LCM of 714, 857, 653, 199, 387

1. What is the LCM of 276, 475, 278, 119, 424?

Answer: LCM of 276, 475, 278, 119, 424 is 229863660600.

2. How to calculate the LCM of 276, 475, 278, 119, 424?

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 276, 475, 278, 119, 424.

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}.