Given numbers are 602,167,406,414,142

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

The LCM of 602,167,406,414,142 is 42848897742.

Find LCM of 602,167,406,414,142 with Prime Factorization

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

2 x 7 x 43 x 167 x 29 x 207 x 71 = 42848897742

Therefore, the lowest common multiple of 602,167,406,414,142 is 42848897742.

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.

602 x 167 x 406 x 414 x 142 = 2399538273552

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.

602 : 1, 2, 7, 14, 43, 86, 301, 602

167 : 1, 167

406 : 1, 2, 7, 14, 29, 58, 203, 406

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

142 : 1, 2, 71, 142

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 602,167,406,414,142, is 1.

Now, the common factors can be found like this.

602:2x 7x 43

167:167

406:2x 7x 29

414:2x 3x 3x 23

142:2x 71

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 7 = 56

Therefore, the value for common factors is 56.

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 = 2399538273552/(1x56)

LCM = 2399538273552/56

LCM = 42848897742

Thus, we can understand that the LCM of 602,167,406,414,142 is 42848897742.

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

• LCM of 493, 105, 955, 241, 604
• LCM of 905, 681, 861, 707, 180
• LCM of 234, 636, 376, 536, 670
• LCM of 382, 703, 339, 191, 132
• LCM of 594, 829, 199, 829, 773

1. What is the LCM of 602, 167, 406, 414, 142?

Answer: LCM of 602, 167, 406, 414, 142 is 42848897742.

2. How to calculate the LCM of 602, 167, 406, 414, 142?

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 602, 167, 406, 414, 142.

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}.