Given numbers are 194,493,690,986,742

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

The LCM of 194,493,690,986,742 is 12241697790.

Find LCM of 194,493,690,986,742 with Prime Factorization

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

2 x 17 x 29 x 97 x 1 x 345 x 1 x 371 = 12241697790

Therefore, the lowest common multiple of 194,493,690,986,742 is 12241697790.

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.

194 x 493 x 690 x 986 x 742 = 48281256083760

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.

194 : 1, 2, 97, 194

493 : 1, 17, 29, 493

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

986 : 1, 2, 17, 29, 34, 58, 493, 986

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,493,690,986,742, is 1.

Now, the common factors can be found like this.

194:2x 97

493:17x 29

690:2x 3x 5x 23

986:2x 17x 29

742:2x 7x 53

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 17x 29 = 3944

Therefore, the value for common factors is 3944.

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 = 48281256083760/(1x3944)

LCM = 48281256083760/3944

LCM = 12241697790

Thus, we can understand that the LCM of 194,493,690,986,742 is 12241697790.

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

• LCM of 168, 433, 787, 302, 947
• LCM of 350, 887, 679, 473, 507
• LCM of 783, 500, 204, 775, 570
• LCM of 839, 182, 513, 738, 962
• LCM of 754, 754, 620, 819, 558

1. What is the LCM of 194, 493, 690, 986, 742?

Answer: LCM of 194, 493, 690, 986, 742 is 12241697790.

2. How to calculate the LCM of 194, 493, 690, 986, 742?

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 194, 493, 690, 986, 742.

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}.