Given numbers are 627,700,756,279,497

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

The LCM of 627,700,756,279,497 is 8694170100.

Find LCM of 627,700,756,279,497 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 209 x 25 x 3 x 31 x 71 = 8694170100

Therefore, the lowest common multiple of 627,700,756,279,497 is 8694170100.

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.

627 x 700 x 756 x 279 x 497 = 46009548169200

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.

627 : 1, 3, 11, 19, 33, 57, 209, 627

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

279 : 1, 3, 9, 31, 93, 279

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,700,756,279,497, is 1.

Now, the common factors can be found like this.

627:3x 11x 19

700:2x 2x 5x 5x 7

756:2x 2x 3x 3x 3x 7

279:3x 3x 31

497:7x 71

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 3x 3x 3x 7x 7 = 5292

Therefore, the value for common factors is 5292.

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 = 46009548169200/(1x5292)

LCM = 46009548169200/5292

LCM = 8694170100

Thus, we can understand that the LCM of 627,700,756,279,497 is 8694170100.

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

• LCM of 692, 861, 139, 676, 766
• LCM of 243, 320, 889, 695, 950
• LCM of 354, 242, 981, 176, 443
• LCM of 492, 854, 689, 140, 295
• LCM of 637, 111, 348, 754, 189

1. What is the LCM of 627, 700, 756, 279, 497?

Answer: LCM of 627, 700, 756, 279, 497 is 8694170100.

2. How to calculate the LCM of 627, 700, 756, 279, 497?

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 627, 700, 756, 279, 497.

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}.