Given numbers are 276,624,970,345,407

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

The LCM of 276,624,970,345,407 is 2833013040.

Find LCM of 276,624,970,345,407 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 1 x 52 x 97 x 1 x 407 = 2833013040

Therefore, the lowest common multiple of 276,624,970,345,407 is 2833013040.

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 624 x 970 x 345 x 407 = 23457347971200

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

970 : 1, 2, 5, 10, 97, 194, 485, 970

345 : 1, 3, 5, 15, 23, 69, 115, 345

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,624,970,345,407, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

624:2x 2x 2x 2x 3x 13

970:2x 5x 97

345:3x 5x 23

407:11x 37

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 3x 3x 5x 23 = 8280

Therefore, the value for common factors is 8280.

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 = 23457347971200/(1x8280)

LCM = 23457347971200/8280

LCM = 2833013040

Thus, we can understand that the LCM of 276,624,970,345,407 is 2833013040.

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

• LCM of 753, 180, 637, 638, 407
• LCM of 826, 627, 667, 469, 285
• LCM of 445, 732, 794, 715, 243
• LCM of 525, 727, 291, 994, 677
• LCM of 885, 268, 162, 724, 736

1. What is the LCM of 276, 624, 970, 345, 407?

Answer: LCM of 276, 624, 970, 345, 407 is 2833013040.

2. How to calculate the LCM of 276, 624, 970, 345, 407?

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, 624, 970, 345, 407.

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}.