Given numbers are 142,102,516,349

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

The LCM of 142,102,516,349 is 217361388.

Find LCM of 142,102,516,349 with Prime Factorization

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

2 x 3 x 71 x 17 x 86 x 349 = 217361388

Therefore, the lowest common multiple of 142,102,516,349 is 217361388.

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 102 x 516 x 349 = 2608336656

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

102 : 1, 2, 3, 6, 17, 34, 51, 102

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,102,516,349, is 1.

Now, the common factors can be found like this.

142:2x 71

102:2x 3x 17

516:2x 2x 3x 43

349:349

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 3 = 12

Therefore, the value for common factors is 12.

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 = 2608336656/(1x12)

LCM = 2608336656/12

LCM = 217361388

Thus, we can understand that the LCM of 142,102,516,349 is 217361388.

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

• LCM of 701, 386, 329, 909
• LCM of 809, 850, 469, 405
• LCM of 858, 793, 233, 834
• LCM of 510, 321, 681, 779
• LCM of 103, 694, 735, 489

1. What is the LCM of 142, 102, 516, 349?

Answer: LCM of 142, 102, 516, 349 is 217361388.

2. How to calculate the LCM of 142, 102, 516, 349?

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, 102, 516, 349.

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}.