Given numbers are 142,410,678,458

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

The LCM of 142,410,678,458 is 2259838410.

Find LCM of 142,410,678,458 with Prime Factorization

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

2 x 71 x 205 x 339 x 229 = 2259838410

Therefore, the lowest common multiple of 142,410,678,458 is 2259838410.

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.

142 x 410 x 678 x 458 = 18078707280

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.

142 : 1, 2, 71, 142

410 : 1, 2, 5, 10, 41, 82, 205, 410

678 : 1, 2, 3, 6, 113, 226, 339, 678

458 : 1, 2, 229, 458

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,410,678,458, is 2.

Now, the common factors can be found like this.

142:2x 71

410:2x 5x 41

678:2x 3x 113

458:2x 229

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 18078707280/(2x4)

LCM = 18078707280/8

LCM = 2259838410

Thus, we can understand that the LCM of 142,410,678,458 is 2259838410.

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

• LCM of 968, 373, 724, 651
• LCM of 388, 904, 998, 928
• LCM of 285, 907, 480, 857
• LCM of 292, 516, 550, 870
• LCM of 623, 259, 237, 754

1. What is the LCM of 142, 410, 678, 458?

Answer: LCM of 142, 410, 678, 458 is 2259838410.

2. How to calculate the LCM of 142, 410, 678, 458?

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 142, 410, 678, 458.

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}.