Given numbers are 497,230,341,742

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

The LCM of 497,230,341,742 is 2065924630.

Find LCM of 497,230,341,742 with Prime Factorization

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

2 x 7 x 71 x 115 x 341 x 53 = 2065924630

Therefore, the lowest common multiple of 497,230,341,742 is 2065924630.

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.

497 x 230 x 341 x 742 = 28922944820

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.

497 : 1, 7, 71, 497

230 : 1, 2, 5, 10, 23, 46, 115, 230

341 : 1, 11, 31, 341

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 497,230,341,742, is 1.

Now, the common factors can be found like this.

497:7x 71

230:2x 5x 23

341:11x 31

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 7 = 14

Therefore, the value for common factors is 14.

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 = 28922944820/(1x14)

LCM = 28922944820/14

LCM = 2065924630

Thus, we can understand that the LCM of 497,230,341,742 is 2065924630.

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

• LCM of 538, 118, 197, 968
• LCM of 597, 160, 505, 407
• LCM of 876, 690, 255, 629
• LCM of 711, 111, 946, 969
• LCM of 343, 538, 709, 144

1. What is the LCM of 497, 230, 341, 742?

Answer: LCM of 497, 230, 341, 742 is 2065924630.

2. How to calculate the LCM of 497, 230, 341, 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 497, 230, 341, 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}.