Given numbers are 198,293,530,742

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

The LCM of 198,293,530,742 is 107615970.

Find LCM of 198,293,530,742 with Prime Factorization

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

2 x 53 x 99 x 293 x 5 x 7 = 107615970

Therefore, the lowest common multiple of 198,293,530,742 is 107615970.

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.

198 x 293 x 530 x 742 = 22814585640

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.

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

293 : 1, 293

530 : 1, 2, 5, 10, 53, 106, 265, 530

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 198,293,530,742, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

293:293

530:2x 5x 53

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 53 = 212

Therefore, the value for common factors is 212.

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 = 22814585640/(1x212)

LCM = 22814585640/212

LCM = 107615970

Thus, we can understand that the LCM of 198,293,530,742 is 107615970.

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

• LCM of 656, 676, 144, 992
• LCM of 899, 765, 383, 121
• LCM of 278, 315, 291, 115
• LCM of 639, 491, 402, 595
• LCM of 943, 420, 902, 440

1. What is the LCM of 198, 293, 530, 742?

Answer: LCM of 198, 293, 530, 742 is 107615970.

2. How to calculate the LCM of 198, 293, 530, 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 198, 293, 530, 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}.