Given numbers are 276,682,868,957,342

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

The LCM of 276,682,868,957,342 is 1089016236.

Find LCM of 276,682,868,957,342 with Prime Factorization

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

2 x 2 x 3 x 11 x 31 x 23 x 1 x 7 x 29 x 57 = 1089016236

Therefore, the lowest common multiple of 276,682,868,957,342 is 1089016236.

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 682 x 868 x 957 x 342 = 53475053252544

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

682 : 1, 2, 11, 22, 31, 62, 341, 682

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

957 : 1, 3, 11, 29, 33, 87, 319, 957

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,682,868,957,342, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

682:2x 11x 31

868:2x 2x 7x 31

957:3x 11x 29

342:2x 3x 3x 19

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 2x 2x 3x 3x 11x 31 = 49104

Therefore, the value for common factors is 49104.

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 = 53475053252544/(1x49104)

LCM = 53475053252544/49104

LCM = 1089016236

Thus, we can understand that the LCM of 276,682,868,957,342 is 1089016236.

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

• LCM of 884, 922, 180, 690, 175
• LCM of 609, 481, 588, 231, 264
• LCM of 234, 922, 930, 735, 558
• LCM of 934, 178, 334, 146, 775
• LCM of 474, 362, 940, 458, 120

1. What is the LCM of 276, 682, 868, 957, 342?

Answer: LCM of 276, 682, 868, 957, 342 is 1089016236.

2. How to calculate the LCM of 276, 682, 868, 957, 342?

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, 682, 868, 957, 342.

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}.