Given numbers are 746,856,588,825,121

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

The LCM of 746,856,588,825,121 is 141979391400.

Find LCM of 746,856,588,825,121 with Prime Factorization

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

2 x 2 x 3 x 11 x 373 x 214 x 49 x 25 x 11 = 141979391400

Therefore, the lowest common multiple of 746,856,588,825,121 is 141979391400.

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.

746 x 856 x 588 x 825 x 121 = 37482559329600

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.

746 : 1, 2, 373, 746

856 : 1, 2, 4, 8, 107, 214, 428, 856

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,856,588,825,121, is 1.

Now, the common factors can be found like this.

746:2x 373

856:2x 2x 2x 107

588:2x 2x 3x 7x 7

825:3x 5x 5x 11

121:11x 11

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 11 = 264

Therefore, the value for common factors is 264.

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 = 37482559329600/(1x264)

LCM = 37482559329600/264

LCM = 141979391400

Thus, we can understand that the LCM of 746,856,588,825,121 is 141979391400.

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

• LCM of 516, 100, 167, 754, 387
• LCM of 782, 609, 598, 461, 534
• LCM of 144, 439, 700, 957, 753
• LCM of 608, 143, 658, 901, 740
• LCM of 799, 557, 875, 686, 439

1. What is the LCM of 746, 856, 588, 825, 121?

Answer: LCM of 746, 856, 588, 825, 121 is 141979391400.

2. How to calculate the LCM of 746, 856, 588, 825, 121?

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 746, 856, 588, 825, 121.

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}.