Given numbers are 426,193,504,598,112

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

The LCM of 426,193,504,598,112 is 4129974576.

Find LCM of 426,193,504,598,112 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 71 x 193 x 3 x 299 x 2 = 4129974576

Therefore, the lowest common multiple of 426,193,504,598,112 is 4129974576.

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.

426 x 193 x 504 x 598 x 112 = 2775342915072

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

193 : 1, 193

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

598 : 1, 2, 13, 23, 26, 46, 299, 598

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,193,504,598,112, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

193:193

504:2x 2x 2x 3x 3x 7

598:2x 13x 23

112:2x 2x 2x 2x 7

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 2x 2x 3x 7 = 672

Therefore, the value for common factors is 672.

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 = 2775342915072/(1x672)

LCM = 2775342915072/672

LCM = 4129974576

Thus, we can understand that the LCM of 426,193,504,598,112 is 4129974576.

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

• LCM of 364, 675, 985, 279, 188
• LCM of 854, 983, 632, 890, 671
• LCM of 284, 588, 666, 607, 759
• LCM of 335, 256, 446, 200, 131
• LCM of 554, 140, 691, 391, 488

1. What is the LCM of 426, 193, 504, 598, 112?

Answer: LCM of 426, 193, 504, 598, 112 is 4129974576.

2. How to calculate the LCM of 426, 193, 504, 598, 112?

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 426, 193, 504, 598, 112.

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}.