Given numbers are 157,177,814,528,627

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

The LCM of 157,177,814,528,627 is 3438277392.

Find LCM of 157,177,814,528,627 with Prime Factorization

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

2 x 3 x 11 x 157 x 59 x 37 x 8 x 19 = 3438277392

Therefore, the lowest common multiple of 157,177,814,528,627 is 3438277392.

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.

157 x 177 x 814 x 528 x 627 = 7488568159776

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.

157 : 1, 157

177 : 1, 3, 59, 177

814 : 1, 2, 11, 22, 37, 74, 407, 814

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,177,814,528,627, is 1.

Now, the common factors can be found like this.

157:157

177:3x 59

814:2x 11x 37

528:2x 2x 2x 2x 3x 11

627:3x 11x 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 3x 3x 11x 11 = 2178

Therefore, the value for common factors is 2178.

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 = 7488568159776/(1x2178)

LCM = 7488568159776/2178

LCM = 3438277392

Thus, we can understand that the LCM of 157,177,814,528,627 is 3438277392.

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

• LCM of 674, 278, 419, 116, 463
• LCM of 891, 603, 430, 973, 648
• LCM of 710, 883, 595, 285, 431
• LCM of 547, 910, 759, 261, 517
• LCM of 600, 428, 500, 428, 812

1. What is the LCM of 157, 177, 814, 528, 627?

Answer: LCM of 157, 177, 814, 528, 627 is 3438277392.

2. How to calculate the LCM of 157, 177, 814, 528, 627?

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 157, 177, 814, 528, 627.

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}.