Given numbers are 276,902,575,724,340

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

The LCM of 276,902,575,724,340 is 9575316300.

Find LCM of 276,902,575,724,340 with Prime Factorization

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

2 x 2 x 5 x 23 x 3 x 451 x 5 x 181 x 17 = 9575316300

Therefore, the lowest common multiple of 276,902,575,724,340 is 9575316300.

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 902 x 575 x 724 x 340 = 35237163984000

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

902 : 1, 2, 11, 22, 41, 82, 451, 902

575 : 1, 5, 23, 25, 115, 575

724 : 1, 2, 4, 181, 362, 724

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,902,575,724,340, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

902:2x 11x 41

575:5x 5x 23

724:2x 2x 181

340:2x 2x 5x 17

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 2x 5x 23 = 3680

Therefore, the value for common factors is 3680.

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 = 35237163984000/(1x3680)

LCM = 35237163984000/3680

LCM = 9575316300

Thus, we can understand that the LCM of 276,902,575,724,340 is 9575316300.

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

• LCM of 120, 356, 811, 680, 162
• LCM of 756, 309, 393, 669, 516
• LCM of 131, 648, 287, 240, 344
• LCM of 658, 225, 166, 241, 237
• LCM of 350, 784, 391, 252, 503

1. What is the LCM of 276, 902, 575, 724, 340?

Answer: LCM of 276, 902, 575, 724, 340 is 9575316300.

2. How to calculate the LCM of 276, 902, 575, 724, 340?

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, 902, 575, 724, 340.

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}.