Given numbers are 174,942,497,452,381

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

The LCM of 174,942,497,452,381 is 389688374292.

Find LCM of 174,942,497,452,381 with Prime Factorization

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

2 x 3 x 29 x 157 x 497 x 226 x 127 = 389688374292

Therefore, the lowest common multiple of 174,942,497,452,381 is 389688374292.

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.

174 x 942 x 497 x 452 x 381 = 14028781474512

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.

174 : 1, 2, 3, 6, 29, 58, 87, 174

942 : 1, 2, 3, 6, 157, 314, 471, 942

497 : 1, 7, 71, 497

452 : 1, 2, 4, 113, 226, 452

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,942,497,452,381, is 1.

Now, the common factors can be found like this.

174:2x 3x 29

942:2x 3x 157

497:7x 71

452:2x 2x 113

381:3x 127

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 14028781474512/(1x36)

LCM = 14028781474512/36

LCM = 389688374292

Thus, we can understand that the LCM of 174,942,497,452,381 is 389688374292.

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

• LCM of 291, 375, 541, 769, 465
• LCM of 305, 807, 757, 621, 628
• LCM of 771, 113, 437, 141, 308
• LCM of 913, 491, 918, 567, 527
• LCM of 162, 975, 488, 709, 460

1. What is the LCM of 174, 942, 497, 452, 381?

Answer: LCM of 174, 942, 497, 452, 381 is 389688374292.

2. How to calculate the LCM of 174, 942, 497, 452, 381?

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 174, 942, 497, 452, 381.

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}.